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Various constants and norm inequalities in Banach spaces and its applications

Research Project

Project/Area Number 23540189
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionNiigata University

Principal Investigator

SAITO Kichisuke  新潟大学, 自然科学系, 教授 (30018949)

Co-Investigator(Kenkyū-buntansha) KATO Mikio  信州大学, 工学部, 教授 (50090551)
HATORI Osamu  新潟大学, 自然科学系, 教授 (70156363)
MITANI Ken-ichi  岡山県立大学, 情報工学部, 准教授 (00468969)
WATANABE Keiichi  新潟大学, 自然科学系, 准教授 (50210894)
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsバナッハ空間 / ノルム不等式 / James 定数 / von Neumann-Jordan 定数 / von Neumann-Jordan定数 / James定数 / Dunkl-Williams不等式 / 三角不等式 / ノルム空間 / Dunkl-Williams定数 / skew定数
Research Abstract

In this project, we mainly presented the following results.
(1) We presented how to calculate several geometrical constants of Banach spaces, in particular, two dimensiona spaces, for example, von Neumann-Jordan constant, James constant and so on.(2) We studied the orthogonal structure of finite dimensional Banach spaces using the notion of Birkoff orthogonality.(3) We proved the refinement and generalization of trianglar inequalities in Banach spaces and considered its applications.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (207 results)

All 2014 2013 2012 2011 Other

All Journal Article (102 results) (of which Peer Reviewed: 102 results) Presentation (105 results) (of which Invited: 11 results)

  • [Journal Article] On generalized Beckners's inequality2014

    • Author(s)
      Kichi-Suke Saito and Ryotaro Tanaka
    • Journal Title

      Anal. Funct. Anal

      Volume: 7 Pages: 543-549

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Orthonormal bases and a structure of finite dimensional normed linear spaces2014

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Journal Title

      Banach J. Math. Anal

      Volume: 8, no.1 Pages: 89-97

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Characterization of the intermediate values of the triangle inequality II2014

    • Author(s)
      Hiroshi Sano, Tamotsu Izumida, Ken-Ichi Mitani, Tomoyoshi Ohwada and Kichi-Suke Saito
    • Journal Title

      Cent. Eur. J. Math

      Volume: 12, no.5 Pages: 778-786

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical constants and characterizations of inner product spaces2014

    • Author(s)
      Ryotaro Tanaka, Tomoyoshi Ohwada and Kichi-Suke Saito
    • Journal Title

      Math. Inequal. Appl

      Volume: 17, No.2 Pages: 513-520

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] How to calculate James constants of Banach spaces2014

    • Author(s)
      Kichi-Suke Saito, Naoto Komuro and Ken-ichi Mitani
    • Journal Title

      Proceedings of the Fourth International Symposium on Banach and Function Spaces IV

      Pages: 211-224

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On skewness and geometrical constants of Banach spaces2014

    • Author(s)
      Ken-Ichi Mitani, Kichi-Suke Saito and Yasuji Takahashi
    • Journal Title

      Proceedings of the Fourth International Symposium on Banach and Function Spaces 2012

      Pages: 337-341

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Dunkl-Williams constant of normed linear spaces2014

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito and Ryotaro Tanaka
    • Journal Title

      Proceedings of the Fourth International Symposium on Banach and Function Spaces IV

      Pages: 343-351

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on finite dimensional normed linear spaces2014

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Journal Title

      Proceedings of the Fourth International Symposium on Banach and Function Spaces IV

      Pages: 391-401

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a class of convex functions which yield partial l^1 -norms2014

    • Author(s)
      M. Kato and T. Tamura
    • Journal Title

      In : Banach and Function Spaces IV (Proc. Fourth International Symposium on Banach and Function Spaces 2012)

      Pages: 199-210

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On generalized Beckners's inequality2014

    • Author(s)
      Kichi-Suke Saito, Ryotaro Tanaka
    • Journal Title

      Anal. Funct. Anal.

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Another approach to characterizations of generalized triangle inequalities in normed spaces2014

    • Author(s)
      Tamotsu Izumida, Ken-Ichi Mitani, Kichi-Suke Saito
    • Journal Title

      Central European Jornal of Mathematics

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orthonormal bases and a structure of finite dimensional normed linear spaces2014

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Journal Title

      Banach J. Math. Anal.

      Volume: 8 Pages: 89-97

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterization of the intermediate values of the triangle inequality II2014

    • Author(s)
      Hiroshi Sano, Tamotsu Izumida, Ken-Ichi Mitani, Tomoyoshi Ohwada, Kichi-Suke Saito
    • Journal Title

      Cent. Eur. J. Math.

      Volume: 12 Pages: 778-786

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical constants and characterizations of inner product spaces2014

    • Author(s)
      Ryotaro Tanaka, Tomoyoshi Ohwada, Kichi-Suke Saito
    • Journal Title

      Math. Inequal. Appl.

      Volume: 17 Pages: 513-520

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] How to calculate James constants of Banach spaces2014

    • Author(s)
      Kichi-Suke Saito, Naoto Komuro, Ken-ichi Mitani
    • Journal Title

      Banach and Function Spaces

      Volume: IV Pages: 211-224

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On skewness and geometrical constants of Banach spaces2014

    • Author(s)
      Ken-Ichi Mitani, Kichi-Suke Saito, Yasuji Takahashi
    • Journal Title

      Banach and Function Spaces

      Volume: IV Pages: 337-341

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Dunkl-Williams constant of normed linear spaces2014

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito, Ryotaro Tanaka
    • Journal Title

      Banach and Function Spaces

      Volume: IV Pages: 343-401

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on finite dimensional normed linear spaces2014

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito
    • Journal Title

      Banach and Function Spaces

      Volume: IV Pages: 391-401

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Direct sums of Banach spaces with FPP which fail to be uniformly non-square2014

    • Author(s)
      M. Kato and T. Tamura
    • Journal Title

      J. Nonlinear Convex Anal.

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a new geometric constant related to the modulus of smoothness of2014

    • Author(s)
      Y. Takahashi and M. Kato
    • Journal Title

      Acta Math. Sinica

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Notes on von Neumann-Jordan and James constants for absolute norms on R^22014

    • Author(s)
      Acta Math. Sinica
    • Journal Title

      Mediterr. J. Math

      Volume: 未定 Issue: 2 Pages: 633-642

    • DOI

      10.1007/s00009-013-0370-1

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a class of convex functions which yield partial l_1-norms2014

    • Author(s)
      M. Kato and T. Tamura
    • Journal Title

      Banach and Function Spaces

      Volume: IV Pages: 199-210

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C^*-algebras2014

    • Author(s)
      Osamu Hatori and Lajos Moln’ar
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 409 Pages: 158-167

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions2014

    • Author(s)
      Osamu Hatori, A. Jimeenez-Vargas and Moises Villegas-Vallecillos
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 415 Pages: 825-845

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isometries of the unitary groups in C^*-algebras2014

    • Author(s)
      Osamu Hatori
    • Journal Title

      Studia Math.

      Volume: 221 Pages: 61-86

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the range of the parameters for the grand Furuta inequality to be valid II2014

    • Author(s)
      K. Watanabe
    • Journal Title

      J. Math. Inequal.

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterizations of regular norms on R^n2013

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Journal Title

      Nihonkai Math. J

      Volume: 24 Pages: 103-120

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Another approach to Becner's inequality2013

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito and Naoto Komuro
    • Journal Title

      J. Math. Inequal

      Volume: 7, no.3 Pages: 543-549

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the calculation of the Dunkl-Williams constant of normed linear spaces2013

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito and Ryotaro Tanaka
    • Journal Title

      Central European Jornal of Mathematics

      Volume: 11 Pages: 1212-1227

    • Related Report
      2013 Annual Research Report 2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the James constant of extreme absolute norms on R^2 and their dual norms2013

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-ichi Mitani
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis I

      Pages: 255-268

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Skewness and geometrical constant of Banach spaces2013

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito and Yasuji Takahashi
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis II

      Pages: 23-27

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] How to calculate geometric constants of Banach apaces2013

    • Author(s)
      Kichi-Suke Saito
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis II

      Pages: 193-203

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on extreme norms on R^22013

    • Author(s)
      Kichi-Suke Saito, Ken-ichi Mitani and Naoto Komuro
    • Journal Title

      Hokkaido Math. J

      Volume: 42 Pages: 1-9

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Skewness and James constant of Banach spaces2013

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito and Yasuji Takahashi
    • Journal Title

      J. Nonlinear and Convex Analysis

      Volume: 14, No.1 Pages: 115-122

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Kolomogorov's theorem for a properly infinite von Neumann algebra2013

    • Author(s)
      Kohei Nakade, Tomoyoshi Ohwada and Kichi-Suke Saito
    • Journal Title

      J. Math. Anal. Appl

      Volume: 401 Pages: 289-292

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Characterizations of regular norms on R^n2013

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito
    • Journal Title

      Nihonkai Math. J.

      Volume: 24 Pages: 103-120

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Another approach to Becner's inequality2013

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito, Naoto Komuro
    • Journal Title

      J. Math. Inequal.

      Volume: 7 Pages: 543-549

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the James constant of extreme absolute norms on R^2 and their dual norms2013

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito, Ken-ichi Mitani
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis

      Volume: I Pages: 255-268

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Skewness and geometrical constant of Banach spaces2013

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito, Yasuji Takahashi
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis

      Volume: II Pages: 23-27

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] How to calculate geometric constants of Banach apaces2013

    • Author(s)
      Kichi-Suke Saito
    • Journal Title

      Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis

      Volume: II Pages: 193-203

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on extreme norms on R^22013

    • Author(s)
      Kichi-Suke Saito, Ken-ichi Mitani, Naoto Komuro
    • Journal Title

      Hokkaido Math. J.

      Volume: 42 Pages: 1-9

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Skewness and James constant of Banach spaces2013

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito, Yasuji Takahashi
    • Journal Title

      J. Nonlinear and Convex Analysis

      Volume: 14 Pages: 115-122

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Kolomogorov's theorem for a properly infinite von Neumann algebra2013

    • Author(s)
      Kohei Nakade, Tomoyoshi Ohwada, Kichi-Suke Saito
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 401 Pages: 289-292

    • Related Report
      2013 Annual Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Real linear isometries between function algebras II2013

    • Author(s)
      Osamu Hatori and Takeshi Miura
    • Journal Title

      Cent. Eur. J. Math.

      Volume: 11 Pages: 1838-1842

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isometries of the special orthogonal group2013

    • Author(s)
      Toshikazu Abe, Shigeki Akiyama and Osamu Hatori
    • Journal Title

      Linear Algerba and Its Applications

      Volume: 439 Pages: 174-188

    • NAID

      120007136918

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] How to calculate James constants of Banach spaces2013

    • Author(s)
      Kichi-Suke Saito, Naoto Komuro, Ken-ichi Mitani
    • Journal Title

      Banach and Function Spaces

      Volume: IV

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On skewness and geometrical constants of Banach spaces2013

    • Author(s)
      Ken-Ichi Mitani, Kichi-Suke Saito, Yasuji Takahashi
    • Journal Title

      Banach and Function Spaces

      Volume: IV

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on finite dimensional normed linear spaces2013

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito
    • Journal Title

      Banach and Function Spaces

      Volume: IV

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Another approach to Becner's inequality2013

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito, Naoto Komuro
    • Journal Title

      J. Math. Inequal.

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Geometrical constants and characterizations of inner product spaces2013

    • Author(s)
      Ryotaro Tanaka, Tomoyoshi Ohwada, Kichi-Suke Saito
    • Journal Title

      Math. Inequal. Appl.

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Partial $\ell_1$-norms and convex functions2013

    • Author(s)
      M. Kato, T. Tamura
    • Journal Title

      Banach and Function Spaces IV

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Real linear isometries between function algebras. II2013

    • Author(s)
      Osamu Hatori, Takeshi Miura
    • Journal Title

      Cent. Eur. J. Math.

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Isometries of the special orthogonal group2013

    • Author(s)
      Toshikazu Abe, Shigeki Akiyama, Osamu Hatori
    • Journal Title

      Linear Algerba and Its Applications

      Volume: ---

    • NAID

      120007136918

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A certain functional inequality derived from an operator inequality2013

    • Author(s)
      K. Watanabe
    • Journal Title

      J. Math. Inequal.

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On a relation between a Schur, Hardy-Littlewood-P\'{o}lya, Karamata's theorem and an inequality of some products of $x^p - 1$ derived from the Furuta inequality2013

    • Author(s)
      K. Watanabe
    • Journal Title

      J. Inequal. Appl.

      Volume: ---

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] The Dunkl-Williams constant of symetric octagonal norms on R^22012

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito and Ryotaro Tanaka
    • Journal Title

      Nihonkai Math. J

      Volume: 23, No.2 Pages: 93-113

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Every n-dimensional normed space is the space R n endowed with a normal norm2012

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Journal Title

      J. Inequal. Math

      Volume: 284 Pages: 5-5

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Dunkl-Williams inequality and the generalized operator version2012

    • Author(s)
      Kichi-Suke Saito and Masaru Tominaga
    • Journal Title

      International Series of Neumerical Mathematics

      Volume: 161 Pages: 137-148

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weak nearly uniform smoothness of the ψ-direct sums2012

    • Author(s)
      M. Kato and T. Tamura
    • Journal Title

      Comment. Math

      Volume: 52 Pages: 171-198

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Von Neumann-Jordan constant for the norms associated with conics2012

    • Author(s)
      T. Ikeda, S. Kai and M. Kato
    • Journal Title

      J. Nonlinear Convex Anal

      Volume: 13 Pages: 807-820

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Dunkl-Williams constant of symetric octagonal norms on R^22012

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito, Ryotaro Tanaka
    • Journal Title

      Nihonkai Math. J.

      Volume: 23 Pages: 93-113

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Every n-dimensional normed space is the space R^n endowed with a normal norm2012

    • Author(s)
      Ryotaro Tanaka, Kichi-Suke Saito
    • Journal Title

      J. Inequal. Math.

      Volume: 2012

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weak nearly uniform smoothness of the $\psi$-direct sums $(X_1 \oplus\cdots\oplus X_N)_{\psi}$2012

    • Author(s)
      M. Kato, T. Tamura
    • Journal Title

      Comment. Math.

      Volume: 52 Pages: 171-198

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Von Neumann-Jordan constant for the norms associated with conics2012

    • Author(s)
      T. Ikeda, S. Kai, M. Kato
    • Journal Title

      J. Nonlinear Convex Anal.

      Volume: 13 Pages: 807-820

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multiplicative isometries on the Smirnov class2012

    • Author(s)
      Osamu Hatori, Yasuo Iida
    • Journal Title

      Abstr. Appl. Anal.

      Volume: 2012

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reflections and a generalization of the Mazur-Ulam theorem2012

    • Author(s)
      Osamu Hatori, Kiyotaka Kobayashi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      Rocky Moutain J. Math.

      Volume: 42 Pages: 117-150

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Isometries of the unitary group2012

    • Author(s)
      Osamu Hatori and Lajos Molnar
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 142 Pages: 2127-2140

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] New criteria for equivalence of locally compact abelian groups2012

    • Author(s)
      Osamu Hatori
    • Journal Title

      J. Group Theory

      Volume: 15 Pages: 271-277

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Isometries between groups of invertible elements in $C^{*}$-algebras2012

    • Author(s)
      Osamu Hatori, Keiichi Watanabe
    • Journal Title

      Studia Math.

      Volume: 209 Pages: 103-106

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Isometries and maps compatible with inverted Jordan triple products on groups2012

    • Author(s)
      Osamu Hatori, Go Hirasawa, Takeshi Miura, Lajos Molnar
    • Journal Title

      Tokyo J. Math.

      Volume: 135 Pages: 385-410

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On monotonicity of some operator functions related to order preserving operator inequalities2012

    • Author(s)
      T. Koizumi, K. Watanabe
    • Journal Title

      J. Math. Inequal.

      Volume: 6 Pages: 579-587

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] An application of matrix inequalities to certain functional inequalities involving fractional powers2012

    • Author(s)
      K. Watanabe
    • Journal Title

      J. Inequal. Appl.

      Volume: 2012 Issue: 1

    • DOI

      10.1186/1029-242x-2012-221

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On a simple range of parameters of the grand Furuta inequality2012

    • Author(s)
      K. Watanabe
    • Journal Title

      International Mathematical Forum

      Volume: 7 Pages: 2897-2902

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reflections and a generalization of the Mazur-Ulam theorem2012

    • Author(s)
      O. Hatori
    • Journal Title

      Rockey Mount. J. math.

      Volume: 42巻 Pages: 117-150

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multiplicative isometries on F-algebras of holomorphic functions2012

    • Author(s)
      O. Hatori
    • Journal Title

      Abstract Applied Analysis

      Volume: 2012巻

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Isometries of the unitary groups2012

    • Author(s)
      O. Hatori
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 140巻 Pages: 2141-2154

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] New criteria for equivalence of locally compact abelian groups2012

    • Author(s)
      O. Hatori
    • Journal Title

      J. Group Theory

      Volume: 15巻 Pages: 271-277

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the inequality C_<NJ> (X) < J(X)2011

    • Author(s)
      Y. Takahashi and M. Kato
    • Journal Title

      In : Banach and Function Spaces III, Proceedings of the 3rd International Symposium on Banach and Function Spaces 2009)

      Pages: 317-328

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] The monotonicity of absolute normalized norms on C^n2011

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito and Naoto Komuro
    • Journal Title

      Nihonkai Math. J

      Volume: 22, no. 2 Pages: 91-102

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some geometrical constants of absolute normalized norms on R^22011

    • Author(s)
      Hiroyasu Mizuguchi and Kichi-Suke Saito
    • Journal Title

      Ann. Funct. Anal

      Volume: 2, no.2 Pages: 22-33

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extremal structure of absolute normalized norms on R^2 III2011

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-ichi Mitani
    • Journal Title

      Banach and Function Spaces III

      Pages: 271-279

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On sharp triangle inequalities in Banach spaces and its application2011

    • Author(s)
      Kichi-Suke Saito and Ken-Ichi Mitani
    • Journal Title

      Banach and Function Spaces III

      Pages: 295-304

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extremal structure of the set of absolute normalized norms on R^2 and the James constant2011

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-ichi Mitani
    • Journal Title

      Applied Math. Computation

      Volume: 217 Pages: 10035-10048

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Schatten p-norm inequalies related to an extended operator parallelogram law2011

    • Author(s)
      Mohammad S. Moslehiam, Masaru Tominaga and Kichi-Suke Saito
    • Journal Title

      Linear Algebras and Applications

      Volume: 435 Pages: 823-829

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Another aspect of triangle inequality2011

    • Author(s)
      Kichi-Suke Saito, Runling An, Hiroyoshi Mizuguchi and Ken-ichi Mitani
    • Journal Title

      ISRN Mathematical Analysis

      Volume: Volume 2011 Pages: 5-5

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] The monotonicity of absolute normalized norms on C^n2011

    • Author(s)
      Ken-Ichi Mitani
    • Journal Title

      Nihonkai Math. J.

      Volume: 22巻 Pages: 91-102

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Some geometrical constants of absolute normaized norms on R^22011

    • Author(s)
      Hiroyasu Mizuguchi
    • Journal Title

      Ann. Fuct. Anal.

      Volume: 2巻 Pages: 22-33

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extremal structure of absolute normalized norms on R^2 III2011

    • Author(s)
      Naoto Komuro
    • Journal Title

      Proceedings of the 3rd International Symposium on Banach and Function spaces

      Volume: - Pages: 271-279

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] On sharp triangle inequalities in Banach spaces and its application2011

    • Author(s)
      Ken-Ichi Mitani
    • Journal Title

      Proceedings of the 3rd International Symposium on Banach and Function spaces

      Volume: - Pages: 295-304

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extremal structure of the set of absolute normalized norms on R^2 and tha James constant2011

    • Author(s)
      Naoto Komuro
    • Journal Title

      Applied Math. Computation

      Volume: 217巻 Pages: 10035-10048

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Schatten p-norm inequalies related to related to an extended oerator parallelgram law2011

    • Author(s)
      Mohammad S. Moslehian
    • Journal Title

      Linear Algebras and Applications

      Volume: 435巻 Pages: 823-829

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Another aspect of triangle inequality2011

    • Author(s)
      Kichi-Suke Saito
    • Journal Title

      ISRN Mathematical Analysis

      Volume: 2011

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the inequality C_{NJ}(X) \leq J(X)2011

    • Author(s)
      Yasuji Takahashi
    • Journal Title

      Proceedings of the 3rd International Symposium on Banach and Function spaces

      Volume: 2011 Pages: 317-328

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] U-convexity of ψ-direct sums of Banach spaces2011

    • Author(s)
      Ken-ichi Mitani
    • Journal Title

      J. Nonlinear Conv. Anal.

      Volume: 11巻 Pages: 199-213

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Algebraic properties of isometries between groups2011

    • Author(s)
      O. Hatori
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 376巻 Pages: 74-83

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spectral preservers in commutative Banach algebras2011

    • Author(s)
      O. Hatori
    • Journal Title

      Contemp. Math.

      Volume: 547巻 Pages: 103-123

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multiplicative isometries on the Smirnov class2011

    • Author(s)
      O. Hatori
    • Journal Title

      Cent. Eur. J. Math.

      Volume: 9巻 Pages: 1051-1056

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] On best possibility of an extension of Furuta inequality2011

    • Author(s)
      T. Koizumi
    • Journal Title

      J. Funct. Anal. Operator Theory

      Volume: 3巻 Pages: 155-161

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Another approach to characterizations of generalized triangle inequalities in normed spaces

    • Author(s)
      Tamotsu Izumida, Ken-Ichi Mitani and Kichi-Suke Saito
    • Journal Title

      CentralEuropean Jornal of Mathematics

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Direct sums of Banach spaces with FPP which fail to be uniformly non-square

    • Author(s)
      M. Kato and T. Tamura
    • Journal Title

      J. Nonlinear Convex Anal

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a new geometric constant related to the modulus of smoothness of a Banach space

    • Author(s)
      Y. Takahashi and M. Kato
    • Journal Title

      Acta Math. Sinica, English Series

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Notes on von Neumann-Jordan and James constants for absolute norms on R^2

    • Author(s)
      T. Ikeda and M. Kato
    • Journal Title

      Mediterr. J. Math.

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Presentation] 2 次元 Lorentz 数列空間及びその双対空間の James 定数2014

    • Author(s)
      Ken-ichi Mitani , Kichi-Suke Saito and Ryotaro Tanaka
    • Organizer
      日本数学会年会
    • Year and Date
      2014-03-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Recent development of James constant of two dimensional Lorentz sequence spaces2014

    • Author(s)
      Kichi-Suke Saito, Ken-ichi Mitani and Ryotaro Tanaka
    • Organizer
      RIMS 研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2014-01-08
    • Related Report
      2013 Final Research Report
  • [Presentation] On von Neumann-Jordan and James constants for absolute norms on R^22014

    • Author(s)
      池田敏春, 加藤幹雄
    • Organizer
      日本数学会年会
    • Related Report
      2013 Final Research Report
  • [Presentation] On von Neumann-Jordan and James constants for absolute norms on R^22014

    • Author(s)
      池田敏春,加藤幹雄
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] James constant of two dimensional Lorentz sequence spaces2013

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      ICNAO2013 The international Conference on Nonlinear Analysis and Optimazation
    • Place of Presentation
      Takao, Taiwan
    • Year and Date
      2013-12-21
    • Related Report
      2013 Final Research Report
  • [Presentation] 三角不等式の一般化について2013

    • Author(s)
      泉田保, 斎藤吉助, 三谷健一
    • Organizer
      京都大学数理解析研究所研究集会
    • Year and Date
      2013-11-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Beckner の不等式の一般化について2013

    • Author(s)
      田中亮太朗, 斎藤吉助
    • Organizer
      京都大学数理解析研究所研究集会
    • Year and Date
      2013-11-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Some recent results on Banach space geometry2013

    • Author(s)
      M. Kato
    • Organizer
      School of Mathematical Sciences
    • Place of Presentation
      Beijing Normal University, Beijjing, P. R. China
    • Year and Date
      2013-09-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限次元ノルムの正規直交基底について2013

    • Author(s)
      田中亮太朗, 斎藤吉助
    • Organizer
      日本数学会秋期分科会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2013-09-24
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限次元ノルムのノルム構造について2013

    • Author(s)
      田中亮太朗, 斎藤吉助
    • Organizer
      日本数学会秋期分科会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2013-09-24
    • Related Report
      2013 Final Research Report
  • [Presentation] On partial l^1 -norms and convex functions2013

    • Author(s)
      M. Kato
    • Organizer
      School of Mathematical Sciences
    • Place of Presentation
      Beijing Normal University, Beijing, P. R. China
    • Year and Date
      2013-09-24
    • Related Report
      2013 Final Research Report
  • [Presentation] On direct sums of Banach spaces and FPP2013

    • Author(s)
      M. Kato
    • Organizer
      Department of Mathmatics
    • Place of Presentation
      Chiang Mai University, Chiang Mai, Thailand
    • Year and Date
      2013-09-17
    • Related Report
      2013 Final Research Report
  • [Presentation] Recent results of Banach space theory2013

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      Seminar Talk
    • Place of Presentation
      University of Iowa
    • Year and Date
      2013-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] Characterizations of geometrical properties of Banach spaces using ψ -direct sums2013

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      Hirosaki, Japan
    • Year and Date
      2013-08-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Convex properties of James and von Neumann-Jordan constant of absolute norms on R^22013

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-Ichi Mitani
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      Hirosaki, Japan
    • Year and Date
      2013-08-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Beckner's inequality and its generalizations2013

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      Hirosaki, Japan
    • Year and Date
      2013-08-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Beckner の不等式とその Banach 空間への応用について2013

    • Author(s)
      斎藤吉助, 田中亮太朗, 小室直人
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限次元ノルム空間の構造について2013

    • Author(s)
      田中亮太朗, 斎藤吉助
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] ノルム空間における Dunkl-Williams 定数の計算方法について2013

    • Author(s)
      水口洋康, 斎藤吉助, 田中亮太朗
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] On norm inequalities and geometric constants in Banach spaces2013

    • Author(s)
      高橋泰嗣, 加藤幹雄
    • Organizer
      第22回関数空間論セミナー, 東京理科大学理学部
    • Related Report
      2013 Final Research Report
  • [Presentation] Direct sums of Banach Spaces with FPP which are not uniformly non-square2013

    • Author(s)
      M. Kato and T. Tamura
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization (ICNAO2013)
    • Place of Presentation
      National Sun Yat-sen University, Kaohsiung, Taiwan
    • Related Report
      2013 Final Research Report
  • [Presentation] Invitation to Banach space geometry2013

    • Author(s)
      加藤幹雄
    • Organizer
      第2回信州関数解析シンポジウム
    • Place of Presentation
      信州大学理学部
    • Related Report
      2013 Final Research Report
  • [Presentation] On a new geometric constant of a Banach space2013

    • Author(s)
      高橋泰嗣, 加藤幹雄
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] On partial l^1 -norms2013

    • Author(s)
      M. Kato
    • Organizer
      The 8th International Conference on Nonlinear and Convex Analysis
    • Place of Presentation
      Hirosaki, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Some results on von Neumann-Jordan type constants of a Banach space2013

    • Author(s)
      高橋泰嗣, 加藤幹雄
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] On direct sums of Banach spaces with a strictly monotone norm2013

    • Author(s)
      田村高幸, 加藤幹雄
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Direct sums of Banach Spaces with FPP2013

    • Author(s)
      M. Kato and T. Tamura
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization (ICNAO2013)
    • Place of Presentation
      National Sun Yat-sen University
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On partial l_1-norms2013

    • Author(s)
      M. Kato
    • Organizer
      The 8th International Conference on Nonlinear and Convex Analysis
    • Place of Presentation
      弘前大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On norm inequalities and geometric constants in Banach spaces2013

    • Author(s)
      高橋泰嗣、加藤幹雄
    • Organizer
      第22回関数空間論セミナー
    • Place of Presentation
      東京理科大学理学部
    • Related Report
      2013 Annual Research Report
  • [Presentation] Beckner の不等式とそのBanach 空間への応用について2013

    • Author(s)
      斎藤吉助, 田中亮太朗, 小室直人
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 有限次元ノルム空間の構造について2013

    • Author(s)
      田中亮太朗、 斎藤吉助
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] ノルム空間におけるDunkl-Williams 定数の計算方法について2013

    • Author(s)
      水口洋康、斎藤吉助、田中亮太朗
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Some results on von Neumann-Jordan type constants of a Banach space2013

    • Author(s)
      高橋泰嗣, 加藤幹雄
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] On direct sums of Banach spaces with a strictly monotone norm2013

    • Author(s)
      田村高幸, 加藤幹雄,
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 作用素不等式から導かれるある種の関数不等式について2013

    • Author(s)
      渡邉恵一
    • Organizer
      解析学セミナー
    • Place of Presentation
      新潟大学理学部
    • Related Report
      2012 Research-status Report
  • [Presentation] Beckner's inequality and its application to Banach spaces2012

    • Author(s)
      斎藤吉助, 田中亮太朗, 小室直人
    • Organizer
      京都大学数理解析研究所研究集会
    • Year and Date
      2012-11-05
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限次元ノルム空間の構造と直交基底について2012

    • Author(s)
      田中亮太朗, ・斎藤吉助
    • Organizer
      実解析学シンポジウム 2012
    • Place of Presentation
      茨城大学理学部
    • Year and Date
      2012-10-27
    • Related Report
      2013 Final Research Report
  • [Presentation] How to calculate James constant of Banach spaces2012

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Year and Date
      2012-09-13
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] A structure of n-dimensional normed linear spaces2012

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Year and Date
      2012-09-13
    • Related Report
      2013 Final Research Report
  • [Presentation] The Dunkl- Williams constant of some Banach spaces2012

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito and Ryotaro Tanaka
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Year and Date
      2012-09-13
    • Related Report
      2013 Final Research Report
  • [Presentation] A Calculation of Dunkl-Williams constant of Banach spaces2012

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito and Ryotaro Tanaka
    • Organizer
      京都大学数理解析研究所研究集会
    • Year and Date
      2012-08-29
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] Several geometric constants of absolute normalized norm on R^22012

    • Author(s)
      水口洋康, 斎藤吉助
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-29
    • Related Report
      2013 Final Research Report
  • [Presentation] von Neumann-Jordan 定数の凸性について2012

    • Author(s)
      斎藤吉助, 小室直人, 三谷健一, 田中亮太朗
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-29
    • Related Report
      2013 Final Research Report
  • [Presentation] On the convex property of von Neumann-Jordan constant2012

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      Colloquium of the Department of Mathematics
    • Place of Presentation
      Universidad Complutense de Madrid
    • Year and Date
      2012-02-13
    • Related Report
      2013 Final Research Report
  • [Presentation] On ψ-direct sums of Banach spaces with a strictly monotone norm2012

    • Author(s)
      田村高幸, 加藤幹雄
    • Organizer
      第21回関数空間セミナー
    • Related Report
      2013 Final Research Report
  • [Presentation] Weak nearly uniform smoothness of direct sums of Banach spaces2012

    • Author(s)
      加藤幹雄, 田村高幸
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Partially l^1-norms and convex functions2012

    • Author(s)
      M. Kato
    • Organizer
      Fourth International Symposium on Banach and Function Spaces 2012
    • Place of Presentation
      Kitakyushu, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Beckner’s inequality and its application to Banach spaces2012

    • Author(s)
      斎藤吉助, 田中亮太朗, 小室直人
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] 有限次元ノルム空間の構造と直交基底について2012

    • Author(s)
      田中亮太朗、斎藤吉助
    • Organizer
      実解析学シンポジウム2012
    • Place of Presentation
      茨城大学理学部
    • Related Report
      2012 Research-status Report
  • [Presentation] How to calculate James constant of Banach spaces2012

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A structure of n-dimensional normed linear spaces2012

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Related Report
      2012 Research-status Report
  • [Presentation] The Dunkl-Williams constant of some Banach spaces2012

    • Author(s)
      Hiroyasu Mizuguchi, Kichi-Suke Saito, Ryotaro Tanaka
    • Organizer
      The foruth Internatinal symposium on Banach and Function Spaces
    • Place of Presentation
      九州工大
    • Related Report
      2012 Research-status Report
  • [Presentation] On $\psi$-direct sums of Banach spaces with a strictly monotone norm2012

    • Author(s)
      田村高幸, 加藤幹雄
    • Organizer
      第21 回関数空間セミナー
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Research-status Report
  • [Presentation] On relations between $CNJ_(X)$ and $J(X)$ and a new geometric constant $A(X)$2012

    • Author(s)
      加藤幹雄, 高橋泰嗣
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Weak nearly uniform smoothness of direct sums of Banach spaces2012

    • Author(s)
      加藤幹雄, 田村高幸
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Partially $ell_1$-norms and convex functions2012

    • Author(s)
      Mikio Kato
    • Organizer
      Fourth International Symposium on Banach and Function Spaces 2012
    • Place of Presentation
      九州工大
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Isometries on groups and its applications2012

    • Author(s)
      Osamu Hatori
    • Organizer
      Department of Mathematical Sciences Colloquim Series
    • Place of Presentation
      (University of Montana
    • Related Report
      2012 Research-status Report
  • [Presentation] Isometries on the unitary groups2012

    • Author(s)
      Osamu Hatori
    • Organizer
      Conference on Mathematics and Statistics,
    • Place of Presentation
      University of Memphis
    • Related Report
      2012 Research-status Report
  • [Presentation] 特殊直交群上の等距離写像(1)2012

    • Author(s)
      阿部 敏一、羽鳥 理
    • Organizer
      2012年度関数環研究集会
    • Place of Presentation
      日本大学理工学部
    • Related Report
      2012 Research-status Report
  • [Presentation] 特殊直交群上の等距離写像(2)2012

    • Author(s)
      阿部 敏一、羽鳥 理
    • Organizer
      2012年度関数環研究集会
    • Place of Presentation
      日本大学理工学部
    • Related Report
      2012 Research-status Report
  • [Presentation] 行列不等式から導かれるある種の関数不等式について2012

    • Author(s)
      渡邉恵一
    • Organizer
      米沢数学セミナー
    • Place of Presentation
      山形大学工学部
    • Related Report
      2012 Research-status Report
  • [Presentation] x^p - 1 の積の間の不等式2012

    • Author(s)
      渡邉恵一
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2012 Research-status Report
  • [Presentation] フルタ不等式に関する最近の結果について2012

    • Author(s)
      渡邉恵一
    • Organizer
      数物研究会
    • Place of Presentation
      富山県民会館
    • Related Report
      2012 Research-status Report
  • [Presentation] On functional inequalities derived from operator inequalities of Furuta type2012

    • Author(s)
      Keiichi Watanabe
    • Organizer
      RIMS研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] グランドフルタ不等式が成立するパラメータの範囲について2012

    • Author(s)
      渡邉恵一
    • Organizer
      関数環研究集会
    • Place of Presentation
      日本大学理工学部
    • Related Report
      2012 Research-status Report
  • [Presentation] Several geometric constants of absolute normalized norms2012

    • Author(s)
      水口洋康
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] von Neumann-Jordan定数の凸性について2012

    • Author(s)
      斎藤吉助
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] On the convex property of von Neumann-Jordan constant2012

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      Colloquim of the Department of Mathematics(招待講演)
    • Place of Presentation
      Universidad Complutense de Madrid
    • Related Report
      2011 Research-status Report
  • [Presentation] 一般化されたフルタ不等式の成立に関するパラメータの範囲について2012

    • Author(s)
      渡邉恵一
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] ある作用素不等式に関係する作用素関数の単調性について2012

    • Author(s)
      渡邉恵一
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] Invitation to Banach space geometry2011

    • Author(s)
      加藤幹雄
    • Organizer
      ポテンシャル論セミナー
    • Place of Presentation
      名城大学理工学部
    • Year and Date
      2011-12-02
    • Related Report
      2013 Final Research Report
  • [Presentation] von Neumann Jordan 定数について2011

    • Author(s)
      斎藤吉助
    • Organizer
      作用素論・作用素環論研究集会
    • Place of Presentation
      琉球大学
    • Year and Date
      2011-11-05
    • Related Report
      2013 Final Research Report
  • [Presentation] Criteria for the equivalence of LCA groups2011

    • Author(s)
      Osamu Hatori
    • Organizer
      Workshop on Commutative Algebra 2011 in Nara University of Education -Commutative Algebra and related topics
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2011-11-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Skewness and geometrical constants for Banach spaces2011

    • Author(s)
      三谷健一, 斎藤吉助, 高橋泰嗣
    • Organizer
      日本数学会秋期分科会
    • Year and Date
      2011-09-28
    • Related Report
      2013 Final Research Report
  • [Presentation] バナッハ空間の skew 定数について2011

    • Author(s)
      三谷健一, 斎藤吉助, 高橋泰嗣
    • Organizer
      京都大学数理解析研究所
    • Year and Date
      2011-08-30
    • Related Report
      2013 Final Research Report
  • [Presentation] How to calculate the geometrical constants of Banach spaces2011

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The seventh International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      Pukyong National University, Busan Korea
    • Year and Date
      2011-08-03
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] On the James constant of extrem absolute norms on R^2 and their dual norms2011

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-Ichi Mitani
    • Organizer
      The seventh International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      Pukyong National University, Busan Korea
    • Year and Date
      2011-08-03
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Skew and geometrical constants of a Banach space2011

    • Author(s)
      Ken-ichi Mitani, Kichi-Suke Saito, Yasuji Takahashi
    • Organizer
      The seventh International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      Pukyong National University, Busan Korea
    • Year and Date
      2011-08-03
    • Related Report
      2013 Final Research Report
  • [Presentation] On some norm inequalities in the Banach space geometry2011

    • Author(s)
      M. Kato
    • Organizer
      Recent Developments in Functional Analysis and Approximation Theory
    • Place of Presentation
      Lecce, Italy
    • Related Report
      2013 Final Research Report
  • [Presentation] On uniform non-l^1 -ness for direct sums of Banach spaces2011

    • Author(s)
      M. Kato
    • Organizer
      Second International Workshop on Interpolation Theory, Function Spaces and Related Topics
    • Place of Presentation
      Santiago de Compostela, Spain
    • Related Report
      2013 Final Research Report
  • [Presentation] von Neumann-Jordan定数について2011

    • Author(s)
      斎藤吉助
    • Organizer
      作用素論・作用素環論研究集会(招待講演)
    • Place of Presentation
      琉球大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Skewness and geometrical constants for Banach spaces2011

    • Author(s)
      三谷健一
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学松本キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] How to calculate the geometrical constants of Banach spaces2011

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The 7-th International Conference on Nonlinear Analysis and Convex Analysis(招待講演)
    • Place of Presentation
      Pukyong National University, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] On the James constant of extreme absolute norms on R^2 and thier dual norms2011

    • Author(s)
      Naoto Komuro
    • Organizer
      The 7-th International Conference on Nonlinear Analysis and Convex Analysis(招待講演)
    • Place of Presentation
      Pukyong National University, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] On some norm inequalities in Banach space geometry2011

    • Author(s)
      M. Kato
    • Organizer
      Recent Developments inFunctional Analysis and Approximation Theory(招待講演)
    • Place of Presentation
      Lecce, Italy
    • Related Report
      2011 Research-status Report
  • [Presentation] Invitation to Banach space geometry2011

    • Author(s)
      加藤幹雄
    • Organizer
      ポテンシャル論セミナー(招待講演)
    • Place of Presentation
      名城大学工学部
    • Related Report
      2011 Research-status Report
  • [Presentation] On recent results of order preserving operator inequalities2011

    • Author(s)
      Keiichi Watanabe
    • Organizer
      バナッハ環におけるpreserving problemsの研究とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] バナッハ空間のskewnessについて2011

    • Author(s)
      三谷健一
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] On further extension of order preserving operator inequality2011

    • Author(s)
      Keiichi Watanabe
    • Organizer
      スペクトル、数域などの作用素の幾何的特性量を用いた作用素の構造について
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] 順序を保存する作用素不等式のある拡張について2011

    • Author(s)
      渡邉恵一
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学松本キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] Criteria for the equivalence of LCA groups2011

    • Author(s)
      Osamu Hatori
    • Organizer
      Workshop on Commutative Algebra 2011
    • Place of Presentation
      奈良教育大学
    • Related Report
      2011 Research-status Report
  • [Presentation] On relations between C_<NJ> (X) and J(X) and a new geometric constant A(X)

    • Author(s)
      加藤幹雄, 高橋泰嗣
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 2Lorentz数列空間及びその双対空間のJames定数

    • Author(s)
      Ken-ichi Mitani , Kichi-Suke Saito and Ryotaro Tanaka
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Recent development of James constant of two dimensional Lorentz sequence spaces

    • Author(s)
      Kichi-Suke Saito, Ken-ichi Mitani and Ryotaro Tanaka
    • Organizer
      RIMS研究集会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] James constant of two dimensional Lorentz sequence spaces

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      ICNAO2013 The international Conference on Nonlinear Analysis and Optimazation
    • Place of Presentation
      中山大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 三角不等式の一般化について

    • Author(s)
      泉田保、斎藤吉助、三谷健一
    • Organizer
      数理解析研究所研究集会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Becknerの不等式の一般化について

    • Author(s)
      田中亮太朗、斎藤吉助
    • Organizer
      数理解析研究所研究集会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 有限次元ノルムの正規直交基底について

    • Author(s)
      田中亮太朗、斎藤吉助
    • Organizer
      日本数学会秋期分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 有限次元ノルムのノルム構造について

    • Author(s)
      田中亮太朗、斎藤吉助
    • Organizer
      日本数学会秋期分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Recent results of Banach space theory

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      Seminar Talk of University ofIowa
    • Place of Presentation
      University of Iowa
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Characterizatyions of geometrical properties of Banach spaces using ψ-direct sums

    • Author(s)
      Kichi-Suke Saito
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      弘前大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Convex properties of James and von Neumann-Jordan constant of absolute norms on R^2

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito and Ken-Ichi Mitani
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      弘前大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Beckner's inequality and its generalizations

    • Author(s)
      Ryotaro Tanaka and Kichi-Suke Saito
    • Organizer
      The Eighth International Conference on Nonlinear Analysis and Convex Analysis (NACA2013)
    • Place of Presentation
      弘前大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] exp A上のpreserver problemについて

    • Author(s)
      羽鳥 理
    • Organizer
      2013年度関数環研究集会
    • Place of Presentation
      クロスパルにいがた生涯学習センター
    • Related Report
      2013 Annual Research Report
  • [Presentation] グランドフルタ不等式の拡張、最良性について

    • Author(s)
      渡邉恵一
    • Organizer
      作用素論・作用素環論研究集会
    • Place of Presentation
      お茶の水女子大学理学部
    • Related Report
      2013 Annual Research Report

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Published: 2011-08-05   Modified: 2019-07-29  

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