A classification of Tsirelson type spaces
| dc.creator | Abad, Jordi Lopez | |
| dc.creator | Manoussakis, Antonis | |
| dc.date | 2005-10-19 | |
| dc.date.accessioned | 2026-07-07T06:47:39Z | |
| dc.date.available | 2026-07-07T06:47:39Z | |
| dc.description | We give a complete classification of mixed Tsirelson spaces T[(F\_i, theta\_i)\_{i=1}^r ] for finitely many pairs of given compact and hereditary families F\_i of finite sets of integers and 0<theta\_i<1 in terms of the Cantor-Bendixson indexes of the families F\_i, and theta\_i (0< i < r+1). We prove that there are unique countable ordinal alpha and 0<theta<1 such that every block sequence of T[(F\_i, theta\_i)\_{i=1}^r ] has a subsequence equivalent to a subsequence of the natural basis of the T(S\_{omega^alpha},theta). Finally, we give a complete criterion of comparison in between two of these mixed Tsirelson spaces. | |
| dc.identifier | https://arxiv.org/abs/math/0510410 | |
| dc.identifier | http://arxiv.org/abs/math/0510410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103728 | |
| dc.subject | Functional Analysis | |
| dc.subject | Logic | |
| dc.subject | MSC 46b20, 05d10 | |
| dc.title | A classification of Tsirelson type spaces | |
| dc.type | text |