(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.
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页码：157 / 181
页数：24
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