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Structure and representation of unbounded operator algebras

Research Project

Project/Area Number 20540222
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionFukuoka University

Principal Investigator

INOUE Atsushi  福岡大学, 理学部, 教授 (50078557)

Co-Investigator(Kenkyū-buntansha) KUROSE Hideki  福岡大学, 理学部, 教授 (00161795)
OTA Shoichi  九州大学, 大学院・芸術工学研究科, 教授 (70107176)
OGI Hidekazu  福岡工業大学, 工学部, 教授 (30248471)
TAKAKURA Mayumi  福岡大学, 理学部, 助教 (40268975)
Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords非有界-表現 / C*-代数 / 非可換微分構造 / O-代数 / 部分O*-代数 / 非有界*-代数 / C^*-代数 / O^*-代数 / 部分O^*-代数 / 非有界*-表現 / 非有界^*-表現 / O*-代数 / 0^*-代数 / 部分0*-代数
Research Abstract

Inoue and M. Fragoulopoulou(Athens Univ.) studied"Well-behaved-representations of tensor-algebras", Inoue, F. Bagarello(Palermo Univ.), M. Fragoulopoulou and C. Trapani(Palermo Univ.) studied"the structure of quasi C-algebras", Inoue and S. J. Bhatt(Patel Sadar Univ.), Ogi studied"the noncommutative differential structure of C-algebras"and Inoue, M. Fragoulopoulou and and K. D. Kuersten(Leipzig Univ.) proceeded the study of"crossed products of unbounded operator algebras".

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (22 results)

All 2011 2010 2009 2008 Other

All Journal Article (22 results) (of which Peer Reviewed: 22 results)

  • [Journal Article] Differential structures in C*-algebras2011

    • Author(s)
      S-J. Bhatt, A. Inoue and H. Ogi
    • Journal Title

      J. Operator Theory

      Volume: 66巻 Pages: 301-334

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Differential structures in C^*-algebras2011

    • Author(s)
      S-J.Bhatt, A.Inoue, H.Ogi
    • Journal Title

      J.Operator Theory

      Volume: 66 Pages: 301-334

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Old and new results on Allan's GB*-algebras2010

    • Author(s)
      M. Fragoulopoulou, A. Inoue and K. D. Kursten
    • Journal Title

      Banach Center Publications

      Volume: 91巻 Pages: 169-178

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Locally convex quasi C*-normed algebras2010

    • Author(s)
      F. Bagarello, M. Fragoulopoulou, A. Inoue and C. Trapani
    • Journal Title

      J. Math. Anal. Appl

      Volume: 366巻 Pages: 593-606

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Old and new results on Allan's GB*-algebras2010

    • Author(s)
      M.Fragoulopoulou, 井上淳, K.D.Kursten
    • Journal Title

      Banach Center Publications 91

      Pages: 169-178

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Locally convex quasi C*-normed algebras2010

    • Author(s)
      F.Bagarello, M.Fragoulopoulou, 井上淳, C.Trapani
    • Journal Title

      J.Math.Anal.Appl. 366

      Pages: 593-606

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Old and new results on Allan's GB^*-algebras2010

    • Author(s)
      M.Fragoulopoulou, A.Inoue, K.D.Kursten
    • Journal Title

      Banach Center Publications

      Volume: 91 Pages: 169-178

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Locally convex quasi C^*-normed algebras2010

    • Author(s)
      F.Bagarello, M.Fragoulopoulou, A.Inoue, C.Trapani
    • Journal Title

      J.Math.Anal.Appl.

      Volume: 366 Pages: 593-606

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bicommutants of reduced unbounded operator algebras2009

    • Author(s)
      F. Bagarello, A. Inoue and C. Trapani
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 137巻 Pages: 3709-3716

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Representations and derivations of quasi-algebras induced by local modifications of states2009

    • Author(s)
      F. Bagarello, A. Inoue and C. Trapani
    • Journal Title

      J. Math. Anal. Appl

      Volume: 356巻 Pages: 615-623

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bicommutants of reduced unbounded operator algebras2009

    • Author(s)
      F.Bagarello, A.Inoue, C.Trapani
    • Journal Title

      Proc.Amer.Math.Soc. 137

      Pages: 3709-3716

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Representations and derivations of quasi *-algebras induced by local modifications of states2009

    • Author(s)
      F.Bagarello, A.Inoue, C.Trapani
    • Journal Title

      J.Math.Anal.Appl. 356

      Pages: 615-623

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Limit algebras of differential forms in non-commutative geometry2008

    • Author(s)
      S. J. Bhatt and A. Inoue
    • Journal Title

      Proc. Indian Acad. Sci. Math. Sci

      Volume: 118巻 Pages: 425-441

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Structure of locally convex quasi C-algebras2008

    • Author(s)
      F. Bagarello, M. Fragoulopoulou, A. Inoue and C. Trapani
    • Journal Title

      J. Math. Soc. Japan

      Volume: 60巻 Pages: 511-549

    • NAID

      10024331751

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Limit algebras of differential forms in non-commutative geometry2008

    • Author(s)
      井上淳, S.J.Bhatt
    • Journal Title

      Proc.Indian Acad.Sci.Math.Sci.{\bf 118}

      Pages: 425-441

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Limit algebras of differential forms in non-commutative geometry2008

    • Author(s)
      S. J. Bhatt, A. Inoue
    • Journal Title

      Proc. Indian Acad. Sci. Math. Sci. 118

      Pages: 425-441

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Structure of locally convex quasi C*-algebras2008

    • Author(s)
      F. Bagarello, M. Fragoulopoulou, A. Inoue, C. Trapani
    • Journal Title

      J. Math. Soc. Japan 60

      Pages: 511-549

    • NAID

      10024331751

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak commutation relations of unbounded operators and applications

    • Author(s)
      F. Bagarello, A. Inoue and C. Trapani
    • Journal Title

      J. Mathematical Physics

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tensor products of unbounded operator algebras

    • Author(s)
      M. Fragoulopoulou, A. Inoue and M. Weigt
    • Journal Title

      Rockey Moun J. Math

      Volume: (to appear)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tensor products of unbounded operator algebras

    • Author(s)
      M.Fragoulopoulou, A.Inoue, M.Weigt
    • Journal Title

      Rocky Mountain Journal of Mathematics

      Volume: (掲載確定)(to appear)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weak Commutation Relations of Unbounded Operators and Applications

    • Author(s)
      F.Bagarello, A.Inoue, C.Trapani
    • Journal Title

      Journal of Mathematical Physics

      Volume: (掲載確定)(to appear)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Differential Structures in C*-alge-bras

    • Author(s)
      S.J.Bhatt, 井上淳, 荻秀和
    • Journal Title

      to appear in J.Operator Theory

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed

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Published: 2008-04-01   Modified: 2016-04-21  

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