The dual of the Bourgain-Delbaen space
| dc.creator | Alspach, Dale | |
| dc.date | 1998-05-18 | |
| dc.date | 2003-09-26 | |
| dc.date.accessioned | 2026-07-07T05:24:47Z | |
| dc.date.available | 2026-07-07T05:24:47Z | |
| dc.description | It is shown that a script L_infty-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(omega^omega). It follows that this is a script L_infty-space which is the same size as c_0 in the sense of the Szlenk index but does not contain c_0. This has some consequences in the theory of uniform homeomorphism of Banach spaces. | |
| dc.description | 20 pages, LaTeX2e, Missing omegas in the statement and proof of Corollary 3.11 inserted | |
| dc.identifier | https://arxiv.org/abs/math/9805081 | |
| dc.identifier | http://arxiv.org/abs/math/9805081 | |
| dc.identifier | Israel J. Math 117 (2000), 239-259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76938 | |
| dc.subject | Functional Analysis | |
| dc.subject | Logic | |
| dc.subject | 46B20 | |
| dc.title | The dual of the Bourgain-Delbaen space | |
| dc.type | text |