Title page for etd-1226109-023139


[Back to Results | New Search]

URN etd-1226109-023139
Author Ya-Shu Wang
Author's Email Address No Public.
Statistics This thesis had been viewed 5097 times. Download 2104 times.
Department Applied Mathematics
Year 2009
Semester 1
Degree Ph.D.
Type of Document
Language English
Title Local and disjointness structures of smooth Banach manifolds
Date of Defense 2009-12-17
Page Count 52
Keyword
  • little Lipschitz
  • S-category
  • disjointness preserving operator
  • local operator
  • smooth Banach manifold
  • Abstract Peetre characterized local operators defined on the smooth section space over an open subset of an Euclidean space as ``linear differential operators'. We look for an extension to such maps of smooth vector sections of smooth Banach bundles. Since local
    operators are special disjointness preserving operators, it leads to the study of the disjointness structure of smooth Banach manifolds.
    In this thesis, we take an abstract approach to define the``smooth functions', via the so-called S-category.
    Especially, it covers the standard classes C^{n} and local Lipschitz functions, where 0≤n≤∞. We will study
    the structure of disjointness preserving linear maps between S-smooth functions defined on separable Banach manifolds. In particular, we will give an extension of Peetre's theorem to characterize disjointness preserving linear mappings between C^n
    or local Lipschitz functions defined on locally compact metric spaces.
    Advisory Committee
  • P.Y Wu - chair
  • J.C. Yao - co-chair
  • Der-Chen Chang - co-chair
  • L. J Lin - co-chair
  • C.C. Lin - co-chair
  • C.W. Leung - co-chair
  • R.R. Sheu - co-chair
  • KINGFAI LAI - co-chair
  • Ngai-Ching WONG - advisor
  • Files
  • etd-1226109-023139.pdf
  • indicate accessible in a year
    Date of Submission 2009-12-26

    [Back to Results | New Search]


    Browse | Search All Available ETDs

    If you have more questions or technical problems, please contact eThesys