Title page for etd-0709103-115608


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URN etd-0709103-115608
Author Jung-Hui Liu
Author's Email Address liourh@math.nsysu.edu.tw
Statistics This thesis had been viewed 5066 times. Download 2418 times.
Department Applied Mathematics
Year 2002
Semester 2
Degree Master
Type of Document
Language English
Title Local Automorphisms of Operator Algebras on Fr´echet Spaces
Date of Defense 2003-06-06
Page Count 19
Keyword
  • Fr´echet Spaces
  • 2-local automorphism
  • Abstract Let A be an algebra. A mapping  : A ! A is called a 2-local automorphism if for
    every a, b in A there is an automorphism ab : A ! A, depending on a and b, such
    that ab(a) = (a) and ab(b) = (b). Here no linearity, surjectivity or continuity of
     is assumed. In this thesis we extend a result of Lajos Moln´ar stating that every
    2-local automorphism of an operator algebra on a Banach space with a Schauder basis
    is an automorphism. We obtain the same conclusion for operator algebras on Fr´echet
    spaces with Schauder bases.
    Advisory Committee
  • Jen-Chih Yao - chair
  • Mark C. Ho - co-chair
  • Wen-Fong Ke - co-chair
  • Tsai-Lien Wong - co-chair
  • Ngai-Ching Wong - advisor
  • Files
  • etd-0709103-115608.pdf
  • indicate access worldwide
    Date of Submission 2003-07-09

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