On asymptotic models in Banach spaces
| dc.creator | Halbeisen, Lorenz | |
| dc.creator | Odell, Edward | |
| dc.date | 2001-10-14 | |
| dc.date.accessioned | 2026-07-07T04:43:49Z | |
| dc.date.available | 2026-07-07T04:43:49Z | |
| dc.description | A well known application of Ramsey's Theorem to Banach Space Theory is the notion of a spreading model (e'_i) of a normalized basic sequence (x_i) in a Banach space X. We show how to generalize the construction to define a new creature (e_i), which we call an asymptotic model of X. Every spreading model of X is an asymptotic model of X and in most settings, such as if X is reflexive, every normalized block basis of an asymptotic model is itself an asymptotic model. We also show how to use the Hindman-Milliken Theorem--a strengthened form of Ramsey's Theorem--to generate asymptotic models with a stronger form of convergence. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110146 | |
| dc.identifier | http://arxiv.org/abs/math/0110146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62389 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B45; 05D10; 46B35; 05D05; 46B20 | |
| dc.title | On asymptotic models in Banach spaces | |
| dc.type | text |