Let X, Y be locally compact Hausdorff spaces. A linear operator T from C0(X,E) to C0(Y,F) is called disjointness preserving if coz(Tf)¡äcoz(Tg) = whenever coz(f)¡äcoz(g) = ∅. We discuss some cases on these compact disjointness preserving operators T and prove that if £f0 is a nonzero point of £m(T), then £f0 is an eigenvalue of T and
we find a projection ∏: C0(X,E) ¡÷C0(X,E), such that for Y1 = ∏C0(X;E) and Y2 = (1-∏)C0(X;E), the operator T|Y1 -£f0 is a nilpotent and £f0-T|Y2 is invertible.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0210111-111403 |
| Date | 10 February 2011 |
| Creators | Hsu, Hsyh-Jye |
| Contributors | Ying-Fen Lin, Ngai-Ching Wong, Wei-Shih Du, Jyh-Shyang Jeang |
| 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-0210111-111403 |
| Rights | unrestricted, Copyright information available at source archive |
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