On subspaces of c_0 and extension of operators into C(K)-spaces
| dc.creator | Kalton, N. J. | |
| dc.date | 1999-11-18 | |
| dc.date.accessioned | 2026-07-07T05:31:41Z | |
| dc.date.available | 2026-07-07T05:31:41Z | |
| dc.description | Johnson and Zippin recently showed that if $X$ is a weak^*-closed subspace of $\ell_1$ and T:X-> C(K) is any bounded operator then T can extended to a bounded operator $\tilde T:\ell_1\to C(K).$ We give a converse result: if X is a subspace of $\ell_1$ so that $\ell_1/X$ has a (UFDD) and every operator T:X -> C(K) can be extended to $\ell_1$ then there is an automorphism $τ$ of $\ell_1$ so that $τ(X)$ is weak^*-closed. This result is proved by studying subspaces of c_0 and several different characterizations of such subspaces are given. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911144 | |
| dc.identifier | http://arxiv.org/abs/math/9911144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79437 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03 | |
| dc.title | On subspaces of c_0 and extension of operators into C(K)-spaces | |
| dc.type | text |