Title page for etd-0612102-010127


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URN etd-0612102-010127
Author Hong-Bin Pan
Author's Email Address 8824607@pchome.com.tw
Statistics This thesis had been viewed 5060 times. Download 2443 times.
Department Applied Mathematics
Year 2001
Semester 2
Degree Master
Type of Document
Language English
Title Structures of some weighted composition operators on the space of square integrable functions with respect to a positive measure
Date of Defense 2002-01-03
Page Count 17
Keyword
  • weighted composition operator
  • shift
  • isometry
  • Abstract Let T be the unit circle,(mu) be a Borel probability measure on T and (phi) be a bounded Lebesgue measurable function on T. in this paper we consider the weighted composition operator W(phi) on L^2(T,mu) defined by
    W(phi)f:=(phi)*(f(circle)(tau)), f in L^2(T),
    where (tau) is the map (tau)(z)=z^2, z in T.
    We will study the von Neumann-Wold decomposition of W(phi) when W(phi) is an isometry and (mu)<< m,where m is the normalized Lebesgue measure on T.
    Advisory Committee
  • Ngai-Ching Wong - chair
  • Pei Yuan Wu - co-chair
  • Jhishen Tsay - co-chair
  • Mark C. Ho - advisor
  • Files
  • etd-0612102-010127.pdf
  • indicate access worldwide
    Date of Submission 2002-06-12

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