Note on distortion and Bourgain $\ell_1$ index
| dc.creator | Pelczar, Anna Maria | |
| dc.date | 2007-09-14 | |
| dc.date | 2008-03-14 | |
| dc.date.accessioned | 2026-07-07T09:26:29Z | |
| dc.date.available | 2026-07-07T09:26:29Z | |
| dc.description | The relation between different notions measuring proximity to $\ell_1$ and distortability of a Banach space is studied. The main result states that a Banach space, whose all subspaces have Bourgain $\ell_1$ index greater than $ω^α$, $α<ω_1$, contains either an arbitrary distortable subspace or an $\ell_1^α$-asymptotic subspace. | |
| dc.description | 14 pages, remarks and references added | |
| dc.identifier | https://arxiv.org/abs/0709.2272 | |
| dc.identifier | http://arxiv.org/abs/0709.2272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156769 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20 (Primary); 46B03 (Secondary) | |
| dc.title | Note on distortion and Bourgain $\ell_1$ index | |
| dc.type | text |