Title page for etd-0708109-151750


[Back to Results | New Search]

URN etd-0708109-151750
Author Chih-Neng Liu
Author's Email Address No Public.
Statistics This thesis had been viewed 5061 times. Download 0 times.
Department Applied Mathematics
Year 2008
Semester 2
Degree Master
Type of Document
Language English
Title The average of weighted composition operators
Date of Defense 2009-07-02
Page Count 24
Keyword
  • composition operators
  • generalized bicircular projections
  • weighted composition operators
  • bicircular projections
  • Abstract Let X be a compact Hausdorff topological space. The Banach space C(X) consists of all
    continuous complex value functions with the supnorm. An operator P on C(X) is called a
    generalized bicircular projection if P + λ(I − P) is an isometry for all |λ| = 1, λ in C and
    P2 = P.
    In this thesis, we study some projections which are the averages of two composition
    operators or two weighted composition operators on C(X). If a projection is the average of
    the identity and a composition operator, it is a generalized bicircular projection. And give
    an example of a projection which is the average of the identity and a weighted composition
    operator, but not a generalized bicircular projection.
    We also discuss some projections which are the average of two bounded linear operators
    on a Banach space. And the main result is that, let T1 and T2 are two bounded linear
    operators on a Banach space, and Q = T1+T2
    2 . If T1 。T2 = T2 。T1 and T2
    1 = T2
    2 = Id then Q
    is a tripotent, i.e. Q3 = Q.
    Advisory Committee
  • Su-Jane Yu - chair
  • Pei-Yuan Wu - co-chair
  • Chao-Liang Shen - co-chair
  • Hwa-Long Gau - co-chair
  • Ngai-Ching Wong - advisor
  • Files
  • etd-0708109-151750.pdf
  • indicate not accessible
    Date of Submission 2009-07-08

    [Back to Results | New Search]


    Browse | Search All Available ETDs

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