Minimality, homogeneity and topological 0-1 laws for subspaces of a Banach space
| dc.creator | Ferenczi, Valentin | |
| dc.date | 2005-02-02 | |
| dc.date | 2005-02-17 | |
| dc.date.accessioned | 2026-07-07T05:16:37Z | |
| dc.date.available | 2026-07-07T05:16:37Z | |
| dc.description | If a Banach space is saturated with basic sequences whose linear span embeds into the linear span of any subsequence, then it contains a minimal subspace. It follows that any Banach space is either ergodic or contains a minimal subspace. For a Banach space $X$ with an (unconditional) basis, topological 0-1 law type dichotomies are stated for block-subspaces of $X$ as well as for subspaces of $X$ with a successive FDD on its basis. A uniformity principle for properties of block-sequences, results about block-homogeneity, and a possible method to construct a Banach space with an unconditional basis, which has a complemented subspace without an unconditional basis, are deduced. | |
| dc.identifier | https://arxiv.org/abs/math/0502054 | |
| dc.identifier | http://arxiv.org/abs/math/0502054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74056 | |
| dc.subject | Functional Analysis | |
| dc.subject | Combinatorics | |
| dc.subject | 46B03; 46B15 | |
| dc.title | Minimality, homogeneity and topological 0-1 laws for subspaces of a Banach space | |
| dc.type | text |