(I)-envelopes of closed convex sets in Banach spaces

被引：0

作者：

Ondřej F. K. Kalenda

机构：

[1] Charles University,Faculty of Mathematics and Physics, Department of Mathematical Analysis

来源：

Israel Journal of Mathematics | 2007年 / 162卷

关键词：

Banach Space; Unit Ball; Compact Space; Borel Function; Complex Banach Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the notion of (I)-generating introduced by V. Fonf and J. Lindendstrauss and a related notion of (I)-envelope. As a consequence of our results we get an easy proof of the James characterization of weak* compactness in Banach spaces with weak angelic dual unit ball and an easy proof of the James characterization of reflexivity within a large class of spaces. We also show by an example that the general James theorem cannot be proved by this method.

引用

页码：157 / 181

页数：24

共 12 条

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