Criteria for convexity in Banach spaces

被引：1

作者：

Kanellopoulos, V ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 09期

关键词：

convex set; locally convex space; Banach space; extreme point; slice; contractible set; Radon-Nikodym property;

D O I：

10.1090/S0002-9939-00-05300-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper two convexity criteria are proven. The first one characterizes compact convex sets in a locally convex space and extends a previous result by G. Aumann, while the second one characterizes closed bounded convex sets with the Radon-Nikodym property in a Banach space.

引用

页码：2725 / 2733

页数：9