Title page for etd-0903107-134219


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URN etd-0903107-134219
Author Tsung-che Wu
Author's Email Address No Public.
Statistics This thesis had been viewed 5062 times. Download 1607 times.
Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title Disjointness preserving operators between Lipschitz spaces
Date of Defense 2007-06-15
Page Count 16
Keyword
  • Lipschitz
  • disjointness preserving operators
  • Abstract Let X be a compact metric space, and Lip(X) is the space of all bounded real-valued Lipschitz functions on X. A linear map T:Lip(X)->Lip(Y) is called disjointness preserving if fg=0 in Lip(X) implies TfTg=0 in Lip(Y). We prove that a biseparating linear bijection T(i.e. T and T^-1 are separating) is a weighted composition operator Tf=hf○φ, f is Lipschitz space from X onto R, φ is a homeomorphism from Y onto X, and h(y) is a Lipschitz function in Y.
    Advisory Committee
  • none - chair
  • none - co-chair
  • none - co-chair
  • none - advisor
  • Files
  • etd-0903107-134219.pdf
  • indicate access worldwide
    Date of Submission 2007-09-03

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