Operators on C_{0}(L,X) whose range does not contain c_{0}
| dc.creator | Talponen, Jarno | |
| dc.date | 2008-01-15 | |
| dc.date.accessioned | 2026-07-07T08:54:35Z | |
| dc.date.available | 2026-07-07T08:54:35Z | |
| dc.description | This paper contains the following results: a) Suppose that X is a non-trivial Banach space and L is a non-empty locally compact Hausdorff space without any isolated points. Then each linear operator T: C_{0}(L,X)\to C_{0}(L,X), whose range does not contain C_{00} isomorphically, satisfies the Daugavet equality ||I+T||=1+||T||. b) Let Γbe a non-empty set and X, Y be Banach spaces such that X is reflexive and Y does not contain c_{0} isomorphically. Then any continuous linear operator T: c_{0}(Γ,X)\to Y is weakly compact. | |
| dc.identifier | https://arxiv.org/abs/0801.2314 | |
| dc.identifier | http://arxiv.org/abs/0801.2314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145986 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20; 46B28 | |
| dc.title | Operators on C_{0}(L,X) whose range does not contain c_{0} | |
| dc.type | text |