An asymptotic property of Schachermayer's space under renorming
| dc.creator | Kutzarova, Denka | |
| dc.creator | Leung, Denny H. | |
| dc.date | 1999-11-06 | |
| dc.date.accessioned | 2026-07-07T05:31:28Z | |
| dc.date.available | 2026-07-07T05:31:28Z | |
| dc.description | A Banach space X with closed unit ball B is said to have property 2-beta, repsectively 2-NUC if for every \ep > 0, there exists δ> 0 such that for every \ep-separated sequence (x_n) in the unit ball B, and every x in B, there are distinct indices m and n such that ||x + x_m + x_n|| < 3(1 - δ), respectively, ||x_m + x_n|| < 2(1 - δ). It is shown that a Banach space constructed by Schachermayer has property 2-beta but cannot be renormed to have property 2-NUC. | |
| dc.identifier | https://arxiv.org/abs/math/9911037 | |
| dc.identifier | http://arxiv.org/abs/math/9911037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79353 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03, 46B20 | |
| dc.title | An asymptotic property of Schachermayer's space under renorming | |
| dc.type | text |