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Compact Operators of Sequence Spaces

In this thesis, we study weighted composition operatorsT(xn)=(£fnX£m(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<¡Û) 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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0619101-154337
Date19 June 2001
CreatorsWang, Wei-Hong
ContributorsMark C. Ho, Wen-Fong Ke, Ngai-Ching Wong, Kwai-Man Fan
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0619101-154337
Rightsunrestricted, Copyright information available at source archive

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