$C^k$-smooth approximations of LUR norms
| hal.structure.identifier | Institute of Mathematics of the Czech Academy of Science [IM / CAS] | |
| dc.contributor.author | HAJEK, Petr | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| dc.contributor.author | PROCHAZKA, Antonin | |
| dc.date.accessioned | 2024-04-04T02:42:29Z | |
| dc.date.available | 2024-04-04T02:42:29Z | |
| dc.date.created | 2009-01 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191246 | |
| dc.description.abstractEn | 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 $X=C([0,\alpha])$, where $\alpha$ is an ordinal, then the same conclusion holds true with $k=\infty$. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | LUR | |
| dc.subject.en | higher order differentiability | |
| dc.subject.en | renorming | |
| dc.title.en | $C^k$-smooth approximations of LUR norms | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/S0002-9947-2013-05899-0 | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 0901.3623 | |
| bordeaux.journal | Transactions of the American Mathematical Society | |
| bordeaux.page | 1973-1992 | |
| bordeaux.volume | 366 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00355409 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00355409v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Transactions%20of%20the%20American%20Mathematical%20Society&rft.date=2014&rft.volume=366&rft.spage=1973-1992&rft.epage=1973-1992&rft.eissn=0002-9947&rft.issn=0002-9947&rft.au=HAJEK,%20Petr&PROCHAZKA,%20Antonin&rft.genre=article |
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