Minimality properties of Tsirelson type spaces
| dc.creator | Kutzarova, Denka | |
| dc.creator | Leung, Denny | |
| dc.creator | Manoussakis, Antonis | |
| dc.creator | Tang, Wee Kee | |
| dc.date | 2007-02-08 | |
| dc.date.accessioned | 2026-07-07T07:45:35Z | |
| dc.date.available | 2026-07-07T07:45:35Z | |
| dc.description | In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (e_k) is said to be subsequentially minimal if for every normalized block basis (x_k) of (e_k), there is a further block (y_k) of (x_k) such that (y_k) is equivalent to a subsequence of (e_k). Sufficient conditions are given for a partly modified mixed Tsirelson space to be subsequentially minimal and connections with Bourgain's \ell^{1}-index are established. It is also shown that a large class of mixed Tsirelson spaces fails to be subsequentially minimal in a strong sense. | |
| dc.identifier | https://arxiv.org/abs/math/0702210 | |
| dc.identifier | http://arxiv.org/abs/math/0702210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123576 | |
| dc.subject | Functional Analysis | |
| dc.title | Minimality properties of Tsirelson type spaces | |
| dc.type | text |