Title page for etd-0619101-154337


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URN etd-0619101-154337
Author Wei-Hong Wang
Author's Email Address wangwh@kimo.com.tw
Statistics This thesis had been viewed 5067 times. Download 4515 times.
Department Applied Mathematics
Year 2000
Semester 2
Degree Master
Type of Document
Language English
Title Compact Operators of Sequence Spaces
Date of Defense 2001-06-01
Page Count 19
Keyword
  • completely continuous operators
  • sequence spaces
  • weakly compact operators
  • compact operators
  • Abstract   In this thesis, we study weighted composition operatorsT(xn)=(λnXσ(n)) between sequence spaces(c0,c,l1,lp), and more precisely, the sufficient and necessary condition that they are compact. First,we obtain some results of weighted composition operators beingcompact, weakly compact and completely continuous on c0 spaces. Then, we extend then to c,l1,and lp(1<p<∞) spaces. Finally, we obtain the condition that an operator from c0, c or lp into c0, c, or lq is compact, weakly compact or completely continuous.
    Advisory Committee
  • Wen-Fong Ke - chair
  • Mark C. Ho - co-chair
  • Kwai-Man Fan - co-chair
  • Ngai-Ching Wong - advisor
  • Files
  • etd-0619101-154337.pdf
  • indicate access worldwide
    Date of Submission 2001-06-19

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