Banach spaces of bounded Szlenk index
| dc.creator | Odell, Edward | |
| dc.creator | Schlumprecht, Thomas | |
| dc.creator | Zsák, András | |
| dc.date | 2007-06-05 | |
| dc.date.accessioned | 2026-07-07T08:04:12Z | |
| dc.date.available | 2026-07-07T08:04:12Z | |
| dc.description | For a countable ordinal a we denote by C_a the class of separable, reflexive Banach spaces whose Szlenk index and the Szlenk index of their dual are bounded by a. We show that each C_a admits a separable, reflexive universal space. We also show that spaces in the class C_{omega^{a*omega}} embed into spaces of the same class with a basis. As a consequence we deduce that each C_a is analytic in the Effros-Borel structure of subspaces of C[0,1]. | |
| dc.description | 29 pages, uses mypreamble.tex and szlenk.bbl | |
| dc.identifier | https://arxiv.org/abs/0706.0656 | |
| dc.identifier | http://arxiv.org/abs/0706.0656 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129864 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20 (Primary); 54H05 (Secondary) | |
| dc.title | Banach spaces of bounded Szlenk index | |
| dc.type | text |