Title page for etd-0713109-165356


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URN etd-0713109-165356
Author Chung-wen Tsai
Author's Email Address d932040005@student.nsysu.edu.tw
Statistics This thesis had been viewed 5060 times. Download 1140 times.
Department Applied Mathematics
Year 2008
Semester 2
Degree Ph.D.
Type of Document
Language English
Title Linear Orthogonality Preservers of Operator Algebras
Date of Defense 2009-07-02
Page Count 44
Keyword
  • operator algebras
  • orthogonality preservers
  • standard operator algebras
  • disjointness structures
  • orthogonality structures
  • Abstract The Banach-Stone Theorem (respectly, Kadison Theorem) says that two abelian (respectively, general) C*-algebras are isomorphic as C*-algebras (respectively, JB*-algebras) if and only if they are isomorphic as Banach spaces. We are interested in using different structures to determine C*-algebras. Here, we would like to study the disjointness structures of C*-algebras and investigate if it suffices to determine C*-algebras.
     There are at least four versions of disjointness structures: zero product, range orthogonality, domain orthogonality and doubly orthogonality. In this thesis, we first study these disjointness structures in the case of standard operator algebras. Then we extend these results to general C*-algebras, namely, C*-algebras with continuous trace.
    Advisory Committee
  • Chin-Cheng Lin - chair
  • Pei-Yuan Wu - co-chair
  • Mau-Hsiang Shih - co-chair
  • Chao-Liang Shen - co-chair
  • Jyh-Shyang Jeang - co-chair
  • Chang-Pao Chen - co-chair
  • Hwa-Long Gau - co-chair
  • Ngai-Ching Wong - advisor
  • Files
  • etd-0713109-165356.pdf
  • indicate access worldwide
    Date of Submission 2009-07-13

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