Winning tactics in a geometrical game
Langue
en
Article de revue
Ce document a été publié dans
Proceedings of the American Mathematical Society. 2009-03, vol. 137, n° 3, p. 1051-1061
American Mathematical Society
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Point-slice game
Radon-Nikodym property characterization
superreflexivity characterization
Origine
Importé de halUnités de recherche