$C^k$-smooth approximations of LUR norms
| dc.creator | Hajek, Petr | |
| dc.creator | Prochazka, Antonin | |
| dc.date | 2009-01-23 | |
| dc.date.accessioned | 2026-07-07T12:33:41Z | |
| dc.date.available | 2026-07-07T12:33:41Z | |
| dc.description | Let $X$ be a WCG Banach space admitting a $C^k$-Fr\' echet smooth norm. Then $X$ admits an equivalent norm which is simultaneously $C^1$-Fr\' echet smooth, LUR, and a uniform limit of $C^k$-Fr\' echet smooth norms. If $X=C([0,α])$, where $α$ is an ordinal, then the same conclusion holds true with $k=\infty$. | |
| dc.identifier | https://arxiv.org/abs/0901.3623 | |
| dc.identifier | http://arxiv.org/abs/0901.3623 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217213 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20, 46B03, 46E15 | |
| dc.title | $C^k$-smooth approximations of LUR norms | |
| dc.type | text |