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Winning tactics in a geometrical game
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PROCHAZKA, Antonin | |
| dc.date.accessioned | 2024-04-04T02:37:13Z | |
| dc.date.available | 2024-04-04T02:37:13Z | |
| dc.date.created | 2007 | |
| dc.date.issued | 2009-03 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190787 | |
| dc.description.abstractEn | A winning tactic for the point-closed slice game in a closed bounded convex set K with Radon-Nikodym property (RNP) is constructed. Consequently a Banach space X has the RNP if and only if there exists a winning tactic in the point-closed slice game played in the unit ball of X. By contrast, there is no winning tactic in the point-open slice game in K. Finally, a more subtle analysis of the properties of the winning tactics leads to a characterization of superreflexive spaces. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | Point-slice game | |
| dc.subject.en | Radon-Nikodym property characterization | |
| dc.subject.en | superreflexivity characterization | |
| dc.title.en | Winning tactics in a geometrical game | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/S0002-9939-08-09636-6 | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Proceedings of the American Mathematical Society | |
| bordeaux.page | 1051-1061 | |
| bordeaux.volume | 137 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00389697 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00389697v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.date=2009-03&rft.volume=137&rft.issue=3&rft.spage=1051-1061&rft.epage=1051-1061&rft.eissn=0002-9939&rft.issn=0002-9939&rft.au=PROCHAZKA,%20Antonin&rft.genre=article |
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