• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

RESEARCH ON STRUCTURAL THEORY OF BANACH SPACES AND ITS APPLICATIONS

Research Project

Project/Area Number 11640177
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionOKAYAMA PREFECTURAL UNIVERSITY

Principal Investigator

TAKAHASHI Yasuji  FACULTY OF COMPUTER SCIENCE AND SYSTEM ENGINEERING, PROFESSOR, 情報工学部, 教授 (30001853)

Co-Investigator(Kenkyū-buntansha) SATO Ryotaro  OKAYAMA UNIVERSITY, FACULTY OF SCIENCE, PROFESSOR, 理学部, 教授 (50077913)
KAWABATA Hiroaki  FACULTY OF COMPUTER SCIENCE AND SYSTEM ENGINEERING, PROFESSOR, 情報工学部, 教授 (70081271)
TAKAHASHI Hiromitsu  FACULTY OF COMPUTER SCIENCE AND SYSTEM ENGINEERING, PROFESSOR, 情報工学部, 教授 (30109889)
KATO Mikio  KYUSHU INSTITUTE OF TECHNOLOGY, FACULTY OF ENGINEERING, PROFESSOR, 工学部, 教授 (50090551)
TAKAHASI Sin-ei  YAMAGATA UNIVERSITY, FACULTY OF ENGINEERING, PROFESSOR, 工学部, 教授 (50007762)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2000: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsClarkson type inequality / Hlawka type inequality / Rademacher type-cotype / von Neumann-Jordan constant / James type constant / Uniformly convex space / Absolute norm / Geometry of Banach spaces / クラークソン型不等式 / ラフカ型不等式 / ラデマツハータイプ・コタイプ / ジョルダン・フォンノイマン定数 / 絶対ノルム / 一様凸空間 / 超回帰的バナッハ空間 / バナッハ空間の幾何学 / バナッハ空間 / タイプ・コタイプ / クラークソン不等式 / ラフカ不等式 / 正規構造 / 一様凸性 / ノイマン・ジョルダン定数
Research Abstract

In this research we studied the structural theory of Banach spaces. We mainly investigated some geometrical and probabilistic properties of Banach spaces in connection with classical norm inequalities and their generalizations. We also investigated some constants related to geometrical properties of Banach spaces and clarified the relations between these constants and properties.
The main results are stated as follows :
1. Clarkson type inequalities and geometry of Banach spaces :
We consider some multi-dimensional Clarkson type inequalities for Banach spaces, and prove the exact relations between such inequalities and the concepts of type and cotype. We also consider some weighted Clarkson type inequalities for Banach spaces, and prove the exact relations between such inequalities and the concepts of p-uniform smoothness and q-uniform convexity.
2. Von Neumann-Jordan, James constants and geometry of Banach spaces X :
We estimate the von Neumann-Jordan constant C_<NJ> (X) from below and above by the James constant J (X), and the normal structure coefficient N (X) by C_<NJ> (X). Furthermore, we introduce James type constants J_t (X), and investigate the relations between such constants and geometrical properties of Banach spaces. The estimate of N (X) by J_t (X) is also given.
3. Hlawka type inequalities and their generalizations :
We give some generalizations of Hlawka type inequalities in connection with type and cotype. An integral form of the Hlawka inequality is also considered, and weighted Djokovic inequality is proved. A new interpretation of Djokovic inequality is also given.
4. Absolute norms and direct sums of Banach spaces :
Absolute norms on C^2 and C^n are considered, and fundamental properties of these norms are shown. We also consider absolute norms on direct sums of two Banach spaces, and the strict convexity and uniform smoothness of such spaces are investigated.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (89 results)

All Other

All Publications (89 results)

  • [Publications] Ryotaro Sato: "On a vector-valued ergodic theorem in L_∞"Studia Mathematica. 132. 285-298 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "Vector-valued ergodic theorems for multiparameter additive processes"Colloquium Mathematicum. 79. 193-202 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A structure of ring homomorphisms on commutative Banach algebras"Proceedings of the American Mathematical Society. 127. 2283-2288 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A necessary and sufficient condition for equality in the Marcus inequality"Proc.Internat.Conf.Nonlinear Analysis and Convex Analysis. 348-351 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "On some generalizations of the von Neumann-Jordan constant"北海道大学数学講究録. 62. 42-45 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋泰嗣: "Weighted Djokovic and the reversed inequalities"北海道大学数学講究録. 62. 46-49 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "An extension of Hlawka's inequality"Mathematical Inequalities & Applications. 3. 63-67 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋泰嗣: "Hlawka type inequalities in Banach spaces"京都大学数理解析研究所講究録. 1136. 90-95 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On absolute norms on C^2-the geometric aspect"京都大学数理解析研究所講究録. 1136. 133-138 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋眞映: "Djokovic's inequalityの一考察"京都大学数理解析研究所講究録. 1144. 39-46 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Department of Mathematics Research Report 2000, Lulea University of Technology,Sweden. 62. 1-27 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "Von Neumann-Jordan constant of absolute normalized norms on C^2"Journal of Mathematical Analysis and Applications. 244. 515-532 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "Absolute norms on C^n"Journal of Mathematical Analysis and Applications. 252. 879-905 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "A general differentiation theorem for superadditive processes"Colloquium Mathematicum. 83. 125-136 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "On the weighted ergodic properties of invertible Lamperti operators"Mathematical Journal of Okayama University. 40. 147-176 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A new interpretation of Djokovic's inequality"Journal of Nonlinear and Convex Analysis. 1. 343-350 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "Clarkson type inequalities and their relations to the concepts of type and cotype"Collectanea Mathematica. 252. 879-905 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Studia Mathematica. 144. 275-295 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "A remark on random Clarkson inequalities"北海道大学数学講究録. 66. 118-121 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋眞映: "Convex sets and inequalities"北海道大学数学講究録. 66. 122-129 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Subspaces of Lp and the Jordan-von Neumann constant"Bulletin of the Kyushu Institute of Technology, Pure and Applied Mathematics. 48. 1-8 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Some convexity constants related to Hlawka type inequalities in Banach spaces"Journal of Inequalities and Applications. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Strict convexity of absolute norms on C^z and direct sums of Banach spaces"Journal of Inequalities and Applications. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James-Jordan von Neumann-constants for Lorentz sequence spaces"Journal of Mathematical Analysis and Applications. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋泰嗣: "On James and Schaeffer constants for Banach spaces"京都大学数理解析研究所講究録. 1186. 189-193 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋眞映: "凸集合における不等式の一つの思想"京都大学数理解析研究所講究録. 1187. 105-109 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 斎藤吉助: "Absolute norms on C^n"京都大学数理解析研究所講究録. 1187. 110-117 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Zhong Zhang: "Fast wavelet transform and its application to electroencephalogram"Transactions of the Japan Society of Mechanical Engineers. 65. 1915-1921 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "Elementary proofs of pointwise ergodic theorems for measure preserving transformations"Osaka Jounal of Mathematics. 36. 485-495 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "On a vector-valued ergodic theorem in L_∞"Studia Mathematica. 132. 285-298 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "Vector-valued ergodic theorems for multiparameter additive processes"Colloquium Mathematicum. 79. 193-202 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A structure of ring homomorphisms on commutative Banach algebras"Proceedings of the American Mathematical Society. 127. 2283-2288 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A necessary and sufficient condition for equality in the Marcus inequality"Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis. 348-351 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "An extension of Hlawka's inequality"Mathematical Inequalities $ Applications. 3. 63-67 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "Some recent results in the Banach space geometry and related norm inequalities"Publicaciones del Departamento de Analisis Matematico Universidad Complutense de Madrid. 46. 105-122 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "Von Neumann-Jordan constant of absolute normalized norms on C^2"Journal of Mathematical Analysis and Applications. 244. 515-532 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "Absolute norms on C^n"Journal of Mathematical Analysis and Applications. 252. 879-905 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "A general differentiation theorem for superadditive processes"Colloquium Mathematicum. 83. 125-136 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ryotaro Sato: "On the weighted ergodic properties of invertible Lamperti operators"Mathematical Journal of Okayama University. 40. 147-176 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A new interpretation of Djokovic's inequality"Journal of Nonlinear and Convex Analysis. 1. 343-350 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "Clarkson type inequalities and their relations to the concepts of type and cotype"Collectanea Mathematica. 51. 327-346 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Studia Mathematica. 144. 275-295 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Subspaces of L_p and the Jordan-von Neumann constant"Bulletin of Kyushu Institute of Technology Pure and Applied Mathematics. 48. 1-8 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Strict convexity of absolute norms on C^2 and direct sums of Banach spaces"Journal of Inequalities and Applications. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Some convexity constants related to Hlawka type inequalities in Banach spaces"Journal of Inequalities and Applications. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James and Jordan-von Neumann constants of Lorentz sequence spaces"Journal of Mathematical Analysis and Applications. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "Generalized Clarkson's inequalities and Rademacher type and cotype"Proceedings of Real Analysis Symposium 1999. 144-153 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "On the von Neumann-Jordan constant"Proceedings of Conference on Operators and Operator Algebras, Okayama University, Okayama. 1-6 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "On some generalizations of the von Neumann-Jordan constant"Hokkaido University Technical Report Series in Mathematics. 62. 42-45 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Weighted Djokovic and the reversed inequalities"Hokkaido University Technical Report Series in Mathematics. 62. 46-49 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Hlawka type inequalities in Banach spaces"RIMS Kokyuroku (Kyoto University). 1136. 90-95 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On absolute norms on C^2-the geometric aspect"RIMS Kokyuroku (Kyoto University). 1136. 133-138 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A consideration of Djokovic's inequality"RIMS Kokyuroku (Kyoto University). 1144. 39-46 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Department of Mathematics Research Report, Lulea University. 6. 1-27 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "James type constant and geometry of Banach spaces"Proceedings of Real Analysis Symposium 2000. 108-114 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "A remark on random Clarkson inequalities"Hokkaido University Technical Report Series in Mathematics. 66. 118-121 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "Convex sets and inequalities"Hokkaido University Technical Report Series in Mathematics. 66. 122-129 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "On James and Schaffer constants for Banach spaces"RIMS Kokyuroku (Kyoto University). 1186. 189-193 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Sin-Ei Takahasi: "A thought of inequalities in convex sets"RIMS Kokyuroku (Kyoto University). 1187. 105-109 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kichi-Suke Saito: "Absolute Norms on C^n"RIMS Kokyuroku (Kyoto University). 1187. 110-117 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasuji Takahashi: "Hlawka type inequalities in Banach spaces"京都大学数理解析研究所講究録. 1136. 90-95 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mikio Kato: "On absolute norms on C_2-the geometric aspect"京都大学数理解析研究所講究録. 1136. 133-138 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 高橋眞映: "Djokovic's inequalityの-考察"京都大学数理解析研究所講究録. 1144. 39-46 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Department of Mathematics Research Report 2000,Lulea University of Technology, Sweden. 6. 1-27 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kichi-Suke Saito: "Von Neumann-Jordann constant of absolute normalized norms on C^2"Journal of Mathematical Analysis and Applications. 244. 515-532 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kichi-Suke Saito: "Absolute norms on C^n"Journal of Mathematical Analysis and Applications. 252. 879-905 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Sin-Ei Takahasi: "A new interpretation of Djokovic's inequality"Journal of Nonlinear and Convex Analysis. 1. 343-350 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mikio Kato: "Clarkson type inequalities and their relations to the concepts of type and cotype"Collectanea Mathematica. 252. 879-905 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants and the normal structure coefficient of Banach spaces"Studia Mathematica. 144. 275-295 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yasuji Takahashi: "A remark on random Clarkson inequalities"北海道大学数学講究録. 66. 118-121 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 高橋眞映: "Convex sets and inequalities"北海道大学数学講究録. 66. 122-129 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yasuji Takahashi: "Subspaces of L_p and the Jordan-von Neumann constant"Bulletin of the Kyushu Institute of Technology, Pure and Applied Mathematics. 48. 1-8 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yasuji Takahashi: "Some convexity constants related to Hlawka type inequalities in Banach spaces"Journal of Inequalities and Applications. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] Yasuji Takahashi: "Strict convexity of absolute norms on C^2 and direct sums of Banach spaces"Journal of Inequalities and Applications. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] Mikio Kato: "On James, Jordan-von Neumann constants for Lorentz sequence spaces"Journal of Mathematical Analysis and Applications. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] 高橋泰嗣: "On James and Schaeffer constants for Banach spaces"京都大学数理解析研究所講究録. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] 斎藤吉助: "Absolute Norms on C^n"京都大学数理解析研究所講究録. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] 斎藤吉助: "バナッハ空間の直和と一様凸性について"京都大学数理解析研究所講究録. (発表予定).

    • Related Report
      2000 Annual Research Report
  • [Publications] 高橋泰嗣: "W.T.Gowers氏の業績I(フィールズ賞受賞者紹介)"数学. 51・2. 189-191 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋泰嗣: "Recent Progress in Banach Space Theory"数学解析研究所講究録. 1100. 131-138 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋眞映: "An extension of Hlawka's inequality"Math.Inequal.Appl.. 3・1. 63-67 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋泰嗣: "On some generalizations of the von Neumann-Jordan constant"北海道大学数学講究録. 62. 42-45 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋泰嗣: "Weighted Djokovic and the Reversed Inequalities"北海道大学数学講究録. 62. 46-49 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 斉藤吉助: "Von Neumann-Jordan Constant of Absolute Normalized Norms on C^2"J.Math.Anal.Appl.. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋泰嗣: "Some convexity constants related to Hlawka type inequalities in Banach spaces"J.Inequal.Appl.. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] 加藤幹雄: "On absolute norms on C^2-the geometric aspect"数理解析研究所講究録. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋泰嗣: "Hlawka type inequalities in Banach spaces"数理解析研究所講究録. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] 高橋眞映: "Djokovic's inequality の一考察"数理解析研究所講究録. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] 佐藤亮太郎: "A general differentiation theorem for superadditive processes"Collog.Math.. (to appear).

    • Related Report
      1999 Annual Research Report

URL: 

Published: 2000-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi