Asymptotic Unconditionality
| dc.creator | Cowell, S. R. | |
| dc.creator | Kalton, N. J. | |
| dc.date | 2008-09-12 | |
| dc.date | 2008-09-17 | |
| dc.date.accessioned | 2026-07-07T10:03:11Z | |
| dc.date.available | 2026-07-07T10:03:11Z | |
| dc.description | We show that a separable real Banach space embeds almost isometrically in a space $Y$ with a shrinking 1-unconditional basis if and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \lim_{n \to \infty} \|x^* - x_n^*\|$ whenever $x^* \in X^*$, $(x_n^*)$ is a weak$^*$-null sequence and both limits exist. If $X$ is reflexive then $Y$ can be assumed reflexive. These results provide the isometric counterparts of recent work of Johnson and Zheng. | |
| dc.description | 26 pages. Submitted for publication. This is a replacement submission. The paper is unchanged but the "Comments" field has been edited | |
| dc.identifier | https://arxiv.org/abs/0809.2294 | |
| dc.identifier | http://arxiv.org/abs/0809.2294 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169196 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03; 46B20 | |
| dc.title | Asymptotic Unconditionality | |
| dc.type | text |