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Research of operator inequalities and log-hyponormal operators

Research Project

Project/Area Number 15540180
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

TANAHASHI Kotaro  Tohoku Pharmaceutical University, Professor, 薬学部, 助教授 (90142398)

Co-Investigator(Kenkyū-buntansha) TAKEMOTO Hideo  Miyagi University of Education, Professor, 教育学部, 教授 (00004408)
MIURA Yasuhiko  Tohoku Pharmaceutical University, Faculty of Humanities and Social Sciences, Professor, 人文社会科学部, 教授 (20091647)
UCHIYAMA Atsushi  Sendai National College of Tecnology, Asistant Professor, 助教授 (00353227)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordslog-hyponormal operator / p-hyponormal operator / (p, k) -quasihyponormal operator / class A(s, t) operator / Fuglede-Putnam theore / Weyl' s theorem / p-quasihyponormal operator / class A operator / 作用素不等式 / log-hyponormal作用素 / class A作用素 / class A(s,t)作用素
Research Abstract

The aim of this research is to develop the theory of operator inequality and study the properties of log-hyponormal and related classes of operators. The main results due to K.Tanahashi and A.Uchiyama is as follows ; If an operator A is paranormal or class A(s,t), then Riesz idempotent corresponding to an isolated point of spectrum is self-adjoint if the point is not 0. If A is a class A(s,t) operator, then the Riesz idempotent is identical to the Riesz idempotent of its Aluthge transform. A tensor product of A, B is log-hyponormal (resp.class A(s,t)) if and only if both A and B are log-hyponormal (resp.class A(s,t)). Fugled-Putnam type theorem holds for p-hyponormal, p-quasihyponormal operators. Fugled-Putnam type theorem holds for injective (p,k)-quasihyponormal operators. Fugled-Putnam type theorem holds for log-hyponormal operators or class Y operators. Algebraically paranormal operators satisfies Wyle's theorem. Putnam type inequality holds for class A operators. M.Takemoto, A.Uch … More iyama and L.Zsido proved that any convex subsets of Rn or Cn is σ-convex. This gives a useful role for the arguments of the numerical ranges of Hilbert space operators. Y.Miura proved the non-commutative L2 version of a Kadison theorem on the decomposition theorem of Jordan isomorphisms in the theory of operator algebras using the notion of completely positive maps on the Hilbert space associated with a standard von Neumann algebra. He introduced in his joint works the partial order on the set of all bound ed linear operators on a Hilbert space with a selfdual cone in the sense of positive maps on selfdual cones, and investigated several properties of this order for the important cones such as powers of operators and the difference with the usual order defined on all hermitian operators. He also as joint worksdealed with the convergency problem of a recursive sequences defined by x_{n+l}=f(x_{n-1},x_n), and gave the affirmative answer more simply and generally than the results of Stevic and his fellows, and applied to a model for competing species in biomathematics. Less

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (74 results)

All 2006 2005 2004 2003 Other

All Journal Article (60 results) Publications (14 results)

  • [Journal Article] Fuglede-Putnam's theorem for (p,k)-quasihyponormal operators2006

    • Author(s)
      K.Tanahashi, S.M.Patel, A.Uchiyama
    • Journal Title

      北海道大学数学講究録 105

      Pages: 60-68

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On p-quasihyponormal operators2005

    • Author(s)
      A.Uchiyma
    • Journal Title

      Nihonkai Mathematical Journal 16

      Pages: 113-128

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On powers of matrices preserving a self-dual cone2005

    • Author(s)
      Y.Miura, Y.Ishikawa, Y.Onishi
    • Journal Title

      京都大学数理解析研究所講究録 1427

      Pages: 54-64

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inequalities for matrices preserving a self-dual cone M_2(R)^+2005

    • Author(s)
      Y.Ishikawa, Y.Miura, Y.Onishi
    • Journal Title

      Far East Journal of Mathematical Sciences 16

      Pages: 63-72

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Unitary dilation for polar decompositions of p-hyponormal operators2005

    • Author(s)
      M.Cho, T.Huruya, K.Tanahashi
    • Journal Title

      Topological Algebras,their applications and related topics,Banach center Publications 67

      Pages: 139-144

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Extension of Putnam's inequality2005

    • Author(s)
      M.Cho, S.M.Patel, K.Tanahasi, A.Uchiyama
    • Journal Title

      京都大学数理解析研究所講究録 1558

      Pages: 71-79

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A note on an operator transform S(T)2005

    • Author(s)
      S.M.Patel, K.Tanahasi, A.Uchiyama
    • Journal Title

      scientiae Mathematicae Japonicae 62

      Pages: 433-447

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fuglede-Putnam's theorem for(p,k)-quasihyponormal operators2005

    • Author(s)
      K.Tanahashi, S.M.Patel, A.Uchiyama
    • Journal Title

      北海道大学数学講究録 105

      Pages: 60-68

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Convergency of a recursive sequence x_{n+1}/(1+alpha(x_{n-1}+x_n))and its application to a model for competing species2005

    • Author(s)
      Y.Miura, S-E.Takahasi, T.Miura, M.Tsukada
    • Journal Title

      J.Analysis and Applications 3

      Pages: 205-222

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On p-quasihyponormal operators2005

    • Author(s)
      A.Uchiyama
    • Journal Title

      Nihonkai Mathematical Journal 16

      Pages: 113-128

    • NAID

      110006245971

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On powers of matrices preserving a self-dual cone2005

    • Author(s)
      Y.Miura, Y.Ishikawa, Y.Onishi
    • Journal Title

      Rims Kokyuroku 1427

      Pages: 54-64

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inequalities for matrices preserving a self-dual cone M 2(R)^+2005

    • Author(s)
      Y.Ishikawa, Y.Miura, Y.Onishi
    • Journal Title

      Far East Journal of Mathematical Sciences 16

      Pages: 63-72

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Unitary dilation for polar decompositions of p-hyponormal operators2005

    • Author(s)
      M.Cho, T.Huruya, K.Tanahashi
    • Journal Title

      Topological Algebras, their applications and related topics, Banach center Publications 67

      Pages: 139-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Extension of Putnam's inequality2005

    • Author(s)
      M.Cho, S.M.Patel, K.Tanahashihi, A.Uchiyama
    • Journal Title

      Rims Kokyuroku 1558

      Pages: 71-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A note on an operator transform S(T)2005

    • Author(s)
      S.M.Patel, K.Tanahashi, A.Uchiyama
    • Journal Title

      Scientiae Mathematicae Japonicae 62

      Pages: 433-447

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Fuglede-Putnam theorem for (p, k)quasi-hyponormal operators2005

    • Author(s)
      K.Tanahashi, S.M.Patel, A.Uchiyama
    • Journal Title

      Hokkaido University Technical Report series in Mathematics 105

      Pages: 60-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Convergency of a recursive sequence x_{n+1} = beta x_{n-1}/(1+alpha (x_{n-1}+x_n)) and its application to a model for competing species2005

    • Author(s)
      Y.Miura, S-E.Takahasi, T.Miura, M.Tsukada
    • Journal Title

      Journal of Analysis and Applications 3

      Pages: 205-222

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inequalities for matrices preserving a self-dual cone M2(R)+2005

    • Author(s)
      Y.Ishikawa, Y.Miura, Y.Onishi
    • Journal Title

      Far East J.Math.Sci(FJMS) 16

      Pages: 63-72

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Extension of Putnam's inequality2005

    • Author(s)
      M.Cho, S.M.Patel, K.Tanahashihi, A.Uchiyama
    • Journal Title

      京都大学数理解析研究所講究録 1558

      Pages: 71-79

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Convergency of a recursive sequence x-{n+1}=beta x_{n-1}/(1+alpha(x_{n-1}+x_n)) and its application to a model for competing species2005

    • Author(s)
      Y.Miura, S-E.Takahasi, T.Miura, M.Tsukada
    • Journal Title

      J.Analysis and Applications 3

      Pages: 205-222

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On quasisimilarity of log-hyponormal operators2004

    • Author(s)
      I.H.Jeon, K.Tanahashi, A.Uchiyama
    • Journal Title

      Glasgow Mathematical Journal 46

      Pages: 169-176

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Isolated points of spectrum of (p,k)-quasihyponormal operators2004

    • Author(s)
      K.Tanahashi, A.Uchiyama, M.Cho
    • Journal Title

      Linear Algebra and its Applications 382

      Pages: 221-229

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Decomposition of an order isomorphism between matrix ordered Hilbert spaces2004

    • Author(s)
      Y.Miura
    • Journal Title

      Proceedings of American Mathematical Society 132

      Pages: 1973-1977

    • NAID

      120001119712

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Competition モデル2004

    • Author(s)
      高橋真映, 三浦康秀, 三浦毅, 塚田真
    • 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
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectrum of class A(s,t) operators2004

    • Author(s)
      K.Tanahashi, A.Uchiyama, J.I.Lee
    • Journal Title

      Acta Sci.Math.(Szeged) 70

      Pages: 279-287

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] p-quasihyponormal, class A(s,t) 作用素のスペクトルについて2004

    • Author(s)
      A.Uchiyama, K.Tanahashi, J.I.Lee
    • Journal Title

      京都大学数理解析研究所講究録 1359

      Pages: 109-116

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] (p,k)-quasihyponormal 作用素のスペクトルについて2004

    • Author(s)
      棚橋, 内山, 長
    • Journal Title

      京都大学数理解析研究所講究録 1359

      Pages: 117-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tensor products of log-hyponormal and class A(s,t) operator2004

    • Author(s)
      K.Tanahashi, M.Cho
    • Journal Title

      Glasgow Mathematical Journal 46

      Pages: 91-95

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Isolated points of spectrum of (p, k)-quasihyponormal operators2004

    • Author(s)
      K.Tanahashi, A.Uchiyama, M.Cho
    • Journal Title

      Linear Algebra and its Applications 382

      Pages: 221-229

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Competition model2004

    • Author(s)
      S-E.Takahasi, Y.Miura, A.Miura, M.Tsukada
    • Journal Title

      RIMS KOKYUROKU 1365

      Pages: 57-61

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectrum of class A(s, t) operators2004

    • Author(s)
      K.Tanahashi, A.Uchiyama, J.I.Lee
    • Journal Title

      Acta Sci.Math.(Szeged) 70

      Pages: 279-287

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectrum of p-quasihyponormal, class A(s, t) operators2004

    • Author(s)
      A.Uchiyama, K.Tanahashi, J.I.Lee
    • Journal Title

      Rims Kokyuroku 1359

      Pages: 109-116

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spectrum of (p, k)-quasihyponormal operators2004

    • Author(s)
      K.Tanahashi, A.Uchiyama, M.Cho
    • Journal Title

      Rims Kokyuroku 1359

      Pages: 117-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tensor products of log-hyponormal and class A(s, t) operator2004

    • Author(s)
      K.Tanahashi, M.Cho
    • Journal Title

      Glasgow Mathematical Journal. 46

      Pages: 91-95

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] p-quasihyponormal,class A(s,t)作用素のスペクトルについて2004

    • Author(s)
      A.Uchiyama, K.Tanahashi, J.I.Lee
    • Journal Title

      京都大学数理解析研究所講究録 1359

      Pages: 119-116

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Log-hyponormal operatorのquasisimilarity2004

    • Author(s)
      棚橋, 内山, 長
    • Journal Title

      京都大学数理解析研究所講究録 1359

      Pages: 117-126

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spectrum of class A(s,t) operators2004

    • Author(s)
      A.Uchiyama, K.Tanahasi J.I.Lee
    • Journal Title

      Acta Sci.Math. (Szeged) 70

      Pages: 279-287

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Decomposition of an order isomorphism between matrix ordered Hilbert spaces2004

    • Author(s)
      Y.Miura
    • Journal Title

      Proceedings of American Mathemathecal Society 132

      Pages: 1973-1977

    • NAID

      120001119712

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Competitionモデル2004

    • Author(s)
      高橋真映, 三浦康秀, 三浦毅, 塚田真
    • Journal Title

      京都大学数理解析研究所講究録 1365

      Pages: 57-61

    • Related Report
      2004 Annual Research Report
  • [Journal Article] An Example of Non-Reducing Eigenspace of a Paranormal Operators2003

    • Author(s)
      A.Uchiyama
    • Journal Title

      Nihonkai Mathematical Journal 14

      Pages: 121-123

    • NAID

      110001041436

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On p-quasihyponormal operators and quasisimilarity2003

    • Author(s)
      I.H Jeon, J.I.Lee, A.Uchiyama
    • Journal Title

      Mathematical Inequalities & Applications 6

      Pages: 309-315

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The o-convexity of all bounded convex sets in Rn and Cn2003

    • Author(s)
      H.Tkemoto, A.Uchiyama, L.Zsido
    • Journal Title

      Nihonkai Mathematical Journal 4

      Pages: 61-64

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Algebraically paranormal operator と Weylの定理2003

    • Author(s)
      K.Tanahashi, A.Uchiyama, J.I.Lee
    • Journal Title

      京都大学教理解析研究所講究録 1312

      Pages: 93-99

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tensor product of log-hyponormal operators2003

    • Author(s)
      K.Tanahashi, M.Cho
    • Journal Title

      北海道大学数学講究録 73

      Pages: 32-35

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 数列 $x_{n+1}=x_{n-1}/(1+x_n)$の面白さと関連する話題2003

    • Author(s)
      高橋真映, 三浦康秀, 三浦毅, 塚田真
    • Journal Title

      京都大学数理解析研究所講究録 1340

      Pages: 104-108

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An Example of Non-Reducing Eigenspace of a Paranormal operatosrs2003

    • Author(s)
      A.Uchiyama
    • Journal Title

      Nihonkai Mathematical Journal 14

      Pages: 121-123

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On p-quasihyponormal operators and quasisimilarity2003

    • Author(s)
      I.H.Jeon, J.I.Lee, A.Uchiyama
    • Journal Title

      Mathematical Inequalities & Applications 6

      Pages: 309-315

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The σ-convexity of all bounded convex sets in Rn and Cn2003

    • Author(s)
      H.Takemoto, A.Uchiyama, L.Zsido
    • Journal Title

      Nihonkai Mathematical Journal 4

      Pages: 61-64

    • NAID

      110000069864

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Algebraically paranormal operator and Weyl's theorem2003

    • Author(s)
      K.Tanahashi, A.Uchiyama, J.I.Lee
    • Journal Title

      RIMS KOKYUROKU 1312

      Pages: 93-99

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tensor product of log-hyponormal operators2003

    • Author(s)
      K.Tanahashi, M.Cho
    • Journal Title

      Hokkaido University Technical Report series in Mathematics 73

      Pages: 32-35

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A topic concering $x_{n+1}=x_{n-1}/(1+x_n)$2003

    • Author(s)
      S-E.Takahasi, Y.Miura, A.Miura, M.Tsukada
    • Journal Title

      RIMS KOKYUROKU 1340

      Pages: 104-108

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fuglede-Putnam theorem for p-hyponormal or class Y operators

    • Author(s)
      S.Mecheri, K.Tanahashi, A.Uchiyama
    • Journal Title

      Bulletin of Korean Mathematical Society to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On the isolated points of spectrum of paranormal operators

    • Author(s)
      A.Uchiyama
    • Journal Title

      Integral Equations and Operator Theory to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On convergency of a recursive sequence x_{n+1}=f(x_{n-1},x_n)

    • Author(s)
      S-E.Takahasi, Y.Miura, T.Miura
    • Journal Title

      Taiwanese Journal of Mathematics to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fuglede-Putnam theorem for p-hyponormal or class Y operators

    • Author(s)
      S.Mecheri, K.Tanahashi, A.Uchiyama
    • Journal Title

      Bulletin of Korean Mathematical Society (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On the isolated points of spectrum of paranormal operators

    • Author(s)
      A.Uchiyama
    • Journal Title

      Integral Equations and Operator Theory (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On convergency of a recursive sequence x_{n+1}=f(x_{n-1},x_n)

    • Author(s)
      S-E.Takahasi, Y.Miura, T.Miura
    • Journal Title

      Taiwanese Journal of Mathematics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fuglede-Putnam theorem for p-hyponormal or class Y operators

    • Author(s)
      S.Mecheri, K.Tanahashi, A.Uchiyama
    • Journal Title

      Bulletin of Korean Mathematical Society (to appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On convergency of a recursive sequence x_{n+1}=f(x_{n-1},x_n)

    • Author(s)
      S-E.Takahasi, Y.Miura, T.Miura
    • Journal Title

      Taiwanese Journal of Mathematics (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Inequalities for matrices preserving a self-dual cone M_2(R)^+

    • Author(s)
      Y.Ishikawa, Y.Miura, Y.Onishi
    • Journal Title

      Far East Journal of Mathematical Sciences (to appear)

    • Related Report
      2004 Annual Research Report
  • [Publications] K.Tanahashi, A.Uchiyama, Jun Ik Lee: "Algebraically paranormal operatorとWeylの定理"京都大学数理解析研究所講究録. 1312. 93-99 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tanahasi, M.Cho: "Tensor product of log-hyponormal operators"北海道大学数学講究録. 73. 32-35 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Takemoto, A.Uchiyama, L.Zsido: "The σ-convexity of all bounded convex sets in Rn and Cn"Nihonkai Mathematical Journal. 4. 61-64 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 高橋真映, 三浦康秀, 三浦毅, 塚田真: "数列x_{n+1}=x_{n-1}/(1+x_n)の面白さと関連する話題"京都大学数理解析研究所講究録. 1340. 104-108 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 西山公直, 三浦康秀: "相乗平均について"日本数学教育学会誌. 85. 472-472 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Miura: "On order of operators preserving selfdual cones in standard forms"Far East J.Math.Sci.(FJMS). 8. 1-9 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] In Ho Jeon, Jun Ik Lee, A.Uchiyama: "On p-quasihyponormal operators and quasisimilarity"Mathematical Inequalities & Applications. 6. 309-315 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] In Ho Jeon, K.Tanahashi, A.Uchiyama: "On quasisimilarity for log-hyponormal operators"Glasgow Mathematical Journal. 46. 169-176 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tanahashi: "Putnam's inequality for log-hyponormal operators"Integral Equations and Operator Theory. 48. 103-114 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] A.Uchiyama: "An Example of Non-Reducing Eigenspace of a Paranormal Operators"Nihonkai Mathematical Journal. (to appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] A.Uchiyama: "On the isolated points of spectrum of paranormal operators"Integral Equations and Operator Theory. (to appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Miura: "Decomposition of an order isomorphism between matrix ordered Hilbert spaces"Proceedings of American Mathematical Society. (to appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] 高橋真映, 三浦康秀, 三浦毅, 塚田真: "Competitionモデル"京都大学数理解析研究所講究録. (出版予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tanahashi, A.Uchiyama: "Spectrum of class A(s,t) operators"Acta Sci.Math.(Szeged). (to appear).

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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