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2006 Fiscal Year Final Research Report Summary

Classifications of commutative Banach algebras and Banach modules and its applications

Research Project

Project/Area Number 16540135
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionYamagata University

Principal Investigator

TAKAHASI Sin-Ei  Yamagata University, Faculty of Enginnering, Professor, 工学部, 教授 (50007762)

Co-Investigator(Kenkyū-buntansha) HATORI Osamu  Niigata University, Institute of Science and Technology, Professor, 自然科学系, 教授 (70156363)
Project Period (FY) 2004 – 2006
Keywordscommutative Banach algebra / Gelfand transform / locally compact abelian group / Segal algbera / multiplier / homomorphism / Hyers-Ulam stability / Hua's inequality
Research Abstract

In order to understand a subject, one sometimes tries to classify the objects in the subject. By this classification, one may learn the deep aspects of the subject. Thus classification is important for us. Here, classification means setting several conditions and considering the classes satisfying the conditions. In this research, the subject is a commutative Banach algebra or a Banach module, and the purpose is to explain the essence of them. Now we classify them. First we set the natural conditions on them and form the class satisfying the conditions. Next we consider whether the concrete algebra or module belongs to the class. We also investigate the common property of algebras and modules in the class. According to these ideas, we introduce the classes named BSE-algebra and BED-algebra. These are obtained by characterizing the Gelfand transformation image and and Helgason-Wang transformation image of commutative Banach algebras. Then the family of commutative Banach algebras can be … More classified in the following four cases : (I) BSE and BED, (II) BSE and not BED, (III) BED and not BSE, (IV) not BED and not BSE. In this research, we gave the following examples : (I) certain closed idals and quotients of group algebras, commutative C^*-algebras, disk algbera, Hardy algebra, a certain Lipschitz-algebra on the real line; (II) Segal algebras S_P(G), A_P(G) of noncompact LCA group G; (III) L^P-algberas on infinite dimensional compact abelian groups, e^1-algbera on infinite set, C_0(X;τ), A_τ; (IV) the derivation algebra C^1_0 (R) on R, the derivation algebra C^1([0,1]) on [0,1], measure algebras on nondiscrete LCA groups, a certain semigroup algebra. Moreover, we introduced a generalized Segal algbera and investigated functional analysis properties of it. Also we constructed concrete generalized Segal algebras A_<τ(n)>. Furthermore, we constructed the smallest isometrically homeomorphism-invariant Segal algbera in commutative Banach algberas. Especially, in the group algebra case, we characterized its multiplier algbera in terms of a certain local multiplier. As an application, we considered a Hyers-Ulam stability problem of derivation on Banach algebras and functional equations and inequalities on Banach spaces, and obtained many valuable results. Less

  • Research Products

    (84 results)

All 2007 2006 2005 2004 Other

All Journal Article (84 results)

  • [Journal Article] Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative2007

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

      Math. Anal. Appl. 326-1

      Pages: 281-296

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On characterizations of the image of the Gelfand transform of commutative Banach algebras2007

    • Author(s)
      Jyunji Inoue, Sin-Ei Takahasi
    • Journal Title

      Math. Nachr. 280, No. 1-2

      Pages: 105-126

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Exponetial type functional equation and its Hyers-Ulam stability2007

    • Author(s)
      Sin-Ei Takahasi, Takeshi, Miura, Hiroyuki Takagi
    • Journal Title

      J. Math. Anal. Appl. 329

      Pages: 1191-1203

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Banach空間上の三角不等式について2007

    • Author(s)
      Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究 1535

      Pages: 125-127

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Hyers-Ulam stability problem and Cauchy-Euler type factorization2007

    • Author(s)
      Sin-Ei Takahasi, Hirokazu Oka, Takeshi Miura, Hiroyuki Takagi
    • Journal Title

      北海道大学数学講究録 119

      Pages: 30-33

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative2007

    • Author(s)
      Osamu Hatori, Takeshi Miura, Hiroyuki Takagi, Jyunji Inoue, Sin-Ei Takahasi
    • Journal Title

      J.Math.Anal.Appl. 326-1

      Pages: 281-296

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On characterizations of the image of the Gelfand transform of commutative Banach algebras2007

    • Author(s)
      Jyunji Inoue, Sin-Ei Takahasi
    • Journal Title

      Math.Nachr. 280, No.1-2

      Pages: 105-126

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Exponetial type functional equation and its Hyers-Ulam stability2007

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Hiroyuki Takagi
    • Journal Title

      J.Math.Anal.Appl. 329

      Pages: 1191-1203

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Triangle inequality on Banach space2007

    • Author(s)
      Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1535

      Pages: 125-127

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Hyers-Ulam stability problem and Cauchy-Euler type factorization2007

    • Author(s)
      Sin-Ei Takahasi, Hirokazu Oka, Takeshi Miura, Hiroyuki Takagi
    • Journal Title

      Hokkaido Univ.Technical Report Series in Mathematics 119

      Pages: 30-33

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Cooper's approach to chaotic operator means2006

    • Author(s)
      Jun Ichi Fujii, Masahiro Nakamura, Sin-Ei Takahasi
    • Journal Title

      Sci. Math. Jpn. 63-2

      Pages: 319-324

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On convergency of a recursive sequence x_<n+1>=f(x_<n-1>,x_n)2006

    • Author(s)
      Sin-Ei Takahasi, Yasuhide Miura, Takeshi Miura
    • Journal Title

      Taiwanese J. Math. 10-3

      Pages: 631-638

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A perturbation of ring derivations on Banach algebras2006

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      J. Math. Anal. Appl. 319

      Pages: 522-530

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A reconsideration of Hua's inequality, II2006

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Takahiro Hayata, Sin-Ei Takahasi
    • Journal Title

      J. Inequal. Appl. Art. ID21540

      Pages: 8

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Characterizations of isometric isomorphisms between uniform algberas via nonlinear range-preserving properties2006

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

      Proc. Amer. Math. Soc. 134-10

      Pages: 2923-2930

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Prime ideals and complex ring homomorphisms on a commutative algebra2006

    • Author(s)
      Takeshi Miura, Sin-Ei Takahasi, Norio Niwa
    • Journal Title

      Publ. Math. Debrecen 70/3-4

      Pages: 453-460

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Continuously differentiable means2006

    • Author(s)
      Jun Ichi Fujii, Masatoshi Fujii, Takeshi Miura, Hiroyuki Takagi, Sin-Ei Takahasi
    • Journal Title

      J. Inequal. Appl. Article ID 75941

      Pages: 1-15

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Gelfand変換による可換Banach環の分類2006

    • Author(s)
      Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究 1478

      Pages: 87-91

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 平均考,II2006

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura, Jun Ichi Fujii, Masatoshi Fujii
    • Journal Title

      北海道大学数学講究録 105

      Pages: 81-85

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Cooper's approach to chaotic operator means2006

    • Author(s)
      Jun Ichi Fujii, Takeshi Miura, Kunio Sato, Masahiro Nakamura, Sin-Ei Takahasi
    • Journal Title

      Sci.Math.Jpn. 63-2

      Pages: 319-324

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On convergency of a recursive sequence x_<n+1>=f(x_<n-1>,x_n)2006

    • Author(s)
      Sin-Ei Takahasi, Yasuhide Miura, Takeshi Miura
    • Journal Title

      Taiwanese J.Math. 10-3

      Pages: 631-638

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A perturbation of ring derivations on Banach algebras2006

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      J.Math.Anal.Appl. 319

      Pages: 522-530

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A reconsideration of Hua's inequality, II2006

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Takahiro Hayata, Sin-Ei Takahasi
    • Journal Title

      J.Inequal.Appl.Art. ID21540

      Pages: 8

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Characterizations of isometric isomorphisms between uniform algberas via nonlinear range-preserving properties2006

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

      Proc.Amer.Math.Soc. 134-10

      Pages: 2923-2930

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Prime ideals and complex ring homomorphisms on a commutative algebra2006

    • Author(s)
      Takeshi Miura, Sin-Ei Takahasi, Norio Niwa
    • Journal Title

      Publ.Math.Debrecen 70/3-4

      Pages: 453-460

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A classfication of commutative Banach algberas by the Gelfand transform2006

    • Author(s)
      Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1478

      Pages: 87-91

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] We consider means, II2006

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura, Jun Ichi Fujii, Masatoshi Fujii
    • Journal Title

      Hokkaido Univ.Technical Report Series in Mathematics 105

      Pages: 81-85

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A note on the Pearce-Pecaric inequalities2005

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      Sci. Math. Japon. 61-1

      Pages: 99-107

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A reconsideration of Hua's inequality2005

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Tadashi Kanzo, Sin-Ei Takahasi
    • Journal Title

      J. Inequal. Appl. 2005-1

      Pages: 15-23

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Convex sets and inequalities2005

    • Author(s)
      Sin-Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima, Hiroyuki Takagi
    • Journal Title

      J. Inequal. Appl. 2005-2

      Pages: 107-117

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras2005

    • Author(s)
      Takeshi Miura, Sin-Ei Takahasi, Go Hirasawa
    • Journal Title

      J. Inequal. Appl 2005-4

      Pages: 435-441

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Convergency of a recursive sequence x_<n+1> =βx_<n+1>/1+α(x_<n-1>+x_n) and its application to a model for competing species2005

    • Author(s)
      Yasuhide Miura, Sin-Ei Takahasi, Takeshi Miura, Makoto Tsukada
    • Journal Title

      J. Anal. Appl. 3-3

      Pages: 205-222

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Averaging functions and inequalities due to Holder-Rogers and Minkowski2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Kunio Sato
    • Journal Title

      Sci. Math. Jpn 62-2

      Pages: 289-298

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 亜距離空間上の鏡映とMazur-Ulam theorem2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura
    • Journal Title

      京都大学数理解析研究所講究録 1415

      Pages: 132-138

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Butler-Rassias type functional equation and its Hyers-Ulam stability2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Hiroyuki Takagi
    • Journal Title

      北海道大学数学講究録 91

      Pages: 59-64

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A way of thinking (Taking Hua's inequality as an example)2005

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura
    • Journal Title

      北海道大学数学講究録 91

      Pages: 71-76

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 平均考2005

    • Author(s)
      Jun Ichi Fujii, Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究 1452

      Pages: 78-85

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] シンプソンの公式をめぐって2005

    • Author(s)
      Hiroyuki Takagi, Tomohisa Inoue, Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究 1452

      Pages: 91-95

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Multiplierの摂動とその存在2005

    • Author(s)
      Hiroyuki Takagi, Tomohisa Inoue, Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究 1452

      Pages: 96-102

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A note on the Pearce-Pecaric inequalities2005

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      Sci.Math.Japon. 61-1

      Pages: 99-107

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A reconsideration of Hua's inequality2005

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Tadashi Kanzo, Sin-Ei Takahasi
    • Journal Title

      J.Inequal.Appl. 2005-1

      Pages: 15-23

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Convex sets and inequalities2005

    • Author(s)
      Sin-Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima, Hiroyuki Takagi
    • Journal Title

      J.Inequal.Appl. 2005-2

      Pages: 107-117

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras2005

    • Author(s)
      Takeshi Miura, Sin-Ei Takahasi, Go Hirasawa
    • Journal Title

      J.Inequal.Appl. 2005-4

      Pages: 435-441

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Convergency of a recursive sequence x_<n+1>=(βx_<n+1>)/(1+α(x_<n-1>+x_n)) and its application to a model for competing species2005

    • Author(s)
      Yasuhide Miura, Sin-Ei Takahasi, Takeshi Miura, Makoto Tsukada
    • Journal Title

      J.Anal.Appl. 3-3

      Pages: 205-222

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Averaging functions and inequalities due to Holder-Rogers and Minkowski2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Kunio Sato
    • Journal Title

      Sci.Math.Jpn. 62-2

      Pages: 289-298

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Reflections on a metricoid space and Mazur-Ulam theorem2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura
    • Journal Title

      RIMUS Kokyuroku 1415

      Pages: 132-138

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Butler-Rassias type functional equation and its Hyers-Ulam stability2005

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Hiroyuki Takagi
    • Journal Title

      Hokkaido Univ.Technical Report Series in Mathematics 91

      Pages: 59-64

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A way of thinking (Taking Hua's inequality as an example)2005

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura
    • Journal Title

      Hokkaido Univ.Technical Report Series in Mathematics 91

      Pages: 71-76

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A considerration of means2005

    • Author(s)
      Jun Ichi Fujii, Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1452

      Pages: 78-85

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On the Simpson's formula2005

    • Author(s)
      Hiroyuki Takagi, Tomohisa Inoue, Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1452

      Pages: 91-95

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A perturbation of multipliers and its existence2005

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1452

      Pages: 96-102

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] The Hyers-Ulam stability of a weighted composition oprators on a uniform algebra2004

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      J. Nonlinear Convex Analysis 5-1

      Pages: 43-48

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Ger type and Hyers-Ulam stabilities of for the first order linear differential operators of entire functions2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Internat. J. Math. and Math. Sci. 22

      Pages: 1151-1158

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] The Hyers-Ulam stability constants of first order linear differential operators2004

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura, Shizuo Miyajima
    • Journal Title

      J. Math. Anal. Appl. 296-2

      Pages: 403-409

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y'=λy2004

    • Author(s)
      Takeshi Miura, Soon-Mo Jung, Sin-Ei Takahasi
    • Journal Title

      Bull. Korean Math. Soc. 41-6

      Pages: 995-1005

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A note on commutative Gelfand theory for real Banach algebras2004

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

      Math. J. Okayama Univ. 46

      Pages: 121-129

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Stability of multipliers on Banach algebras2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Internat. J. Math. and Math. Sci 45-48

      Pages: 2377-2381

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On Wirtinger-Beesack type integral inequalities, Nonlinear analysis and convex analysis2004

    • Author(s)
      Makoto Tsukada, Takeshi Miura, Shuhei Wada, Yasuji Takahashi, Sin-Ei Takahasi
    • Journal Title

      Yokohama Publ.

      Pages: 541-549

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On the best constant of Hyers-Ulam stability2004

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

      J. Nonlinear Convex Anal. 5-3

      Pages: 387-393

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Semi-commutativity and inequality2004

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura
    • Journal Title

      北海道大学数学講究録 80

      Pages: 117-12

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Banach環上のJordan homomorphismとその安定性2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究録 1365

      Pages: 48-56

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Competition Model(種の競合問題)2004

    • Author(s)
      Sin-Ei Takahasi, Yasuhide Miura, Takeshi Miura, Makoto Tsukada
    • Journal Title

      京都大学数理解析研究所講究録 1365

      Pages: 57-61

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 不等式に関するPearce-Pecaricの論文への注意2004

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      京都大学数理解析研究所講究録 1396

      Pages: 157-162

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] The Hyers-Ulam stability of a weighted composition oprators on a uniform algebra2004

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      J.Nonlinear Convex Analysis 5-1

      Pages: 43-48

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Ger type and Hyers-Ulam stabilities of for the first order linear differential operators of entire functions2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Internat.J.Math.and Math.Sci. 22

      Pages: 1151-1158

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] The Hyers-Ulam stability constants of first order linear differential operators2004

    • Author(s)
      Sin-Ei Takahasi, Hiroyuki Takagi, Takeshi Miura, Shizuo Miyajima
    • Journal Title

      J.Math.Anal.Appl. 296-2

      Pages: 403-409

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y'=λy2004

    • Author(s)
      Takeshi Miura, Soon-Mo Jung, Sin-Ei Takahasi
    • Journal Title

      Bull.Korean Math.Soc. 41-6

      Pages: 995-1005

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A note on commutative Gelfand theory for real Banach algebras2004

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

      Math.J.Okayama Univ. 46

      Pages: 121-129

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Stability of multipliers on Banach algebras2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Internat.J.Math.and Math.Sci. 45-48

      Pages: 2377-2381

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On Wirtinger-Beesack type integral inequalities2004

    • Author(s)
      Makoto Tsukada, Takeshi Miura, Shuhei Wada, Yasuji Takahashi, Sin-Ei Takahasi
    • Journal Title

      Nonlinear analysis and convex analysis 541-549

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On the best constant of Hyers-Ulam stability2004

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

      J.Nonlinear Convex Anal. 5-3

      Pages: 387-393

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Semi-commutativity and inequality2004

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura
    • Journal Title

      Hokkaido Univ.Technical Report Series in Mathematics 80

      Pages: 117-122

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A Jordan homomorphism on Banach algberas and its stability2004

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1365

      Pages: 48-56

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Competition Model2004

    • Author(s)
      Sin-Ei Takahasi, Yasuhide Miura, Takeshi Miura, Makoto Tsukada
    • Journal Title

      RIMUS Kokyuroku 1365

      Pages: 57-61

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Remarks on the paper of Pearce-Pecaric with respect to Hua's inequality2004

    • Author(s)
      Hiroyuki Takagi, Takeshi Miura, Sin-Ei Takahasi
    • Journal Title

      RIMUS Kokyuroku 1396

      Pages: 157-162

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Note on the Hyers-Ulam-Rassias stability of the first order lineal differential equation y'(t)+p(t)y(t)+q(t)=0

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Nonlinear Funct. Anal. Appl. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On Wirtinger's inequality and its elementary proof

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Takahiro Hayata
    • Journal Title

      Math. Inequal. Appl. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Refined generalization of the triangle inequality on Banach space

    • Author(s)
      Sin-Ei Takahasi, John M.Rassias, Saburou Saitoh, Yasuji Takahashi
    • Journal Title

      Math. Inequal. Appl. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A general Hlawka inequality and its reverse inequality

    • Author(s)
      Yasuji Takahashi, Shuhei Wada, Sin-Ei Takahasi
    • Journal Title

      Math. Inequal. Appl. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Continuously differentiable means

    • Author(s)
      Jun Ichi Fujii, Masatoshi Fujii, Takeshi Miura, Hiroyuki Takagi, Sin-Ei Takahasi
    • Journal Title

      J.Inequal.Appl. Vol.2006, Article ID 75941

      Pages: 1-15

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Note on the Hyers-Ulam-Rassias stability of the first order linear differential equation y'(t)+p(t)y(t)+q(t)=0

    • Author(s)
      Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi
    • Journal Title

      Nonlinear Funct.Anal.Appl. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On Wirtinger's inequality and its elementary proof

    • Author(s)
      Sin-Ei Takahasi, Takeshi Miura, Takahiro Hayata
    • Journal Title

      Math.Inequal.Appl. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Refined generalization of the triangle inequality on Banach space,

    • Author(s)
      Sin-Ei Takahasi, John M.Rassias, Saburou Saitoh, Yasuji Takahashi
    • Journal Title

      Math.Inequal.Appl. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A general Hlawka inequality and its reverse inequality

    • Author(s)
      Yasuji Takahashi, Shuhei Wada, Sin-Ei Takahasi
    • Journal Title

      Math.Inequal.Appl. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2008-05-27  

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