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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0619101-154337 |
| Date | 19 June 2001 |
| Creators | Wang, Wei-Hong |
| Contributors | Mark C. Ho, Wen-Fong Ke, Ngai-Ching Wong, Kwai-Man Fan |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0619101-154337 |
| Rights | unrestricted, Copyright information available at source archive |
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