The Diameter of the Isomorphism Class of a Banach Space
| dc.creator | Johnson, W. B. | |
| dc.creator | Odell, E. | |
| dc.date | 2003-10-02 | |
| dc.date.accessioned | 2026-07-07T05:01:35Z | |
| dc.date.available | 2026-07-07T05:01:35Z | |
| dc.description | We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has infinite diameter with respect to the Banach-Mazur distance. One step in the proof is to show that if X is elastic then X contains an isomorph of c_0. We call X elastic if for some K < infinity for every Banach space Y which embeds into X, the space Y is K-isomorphic to a subspace of X. We also prove that if X is a separable Banach space such that for some K < infinity every isomorph of X is K-elastic then X is finite dimensional. | |
| dc.description | AMSLaTeX, 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310023 | |
| dc.identifier | http://arxiv.org/abs/math/0310023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68724 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03, 46B20 | |
| dc.title | The Diameter of the Isomorphism Class of a Banach Space | |
| dc.type | text |