WINNING TACTICS IN A GEOMETRICAL GAME

被引：0

作者：

Prochazka, Antonin ^{[1
]}

机构：

[1] Charles Univ Prague, KMA MFF UK, Prague 18675, Czech Republic

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 03期

关键词：

Point-slice game; Radon-nikodym property characterization; superreflexivity characterization;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1051 / 1061

页数：11

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