A subdifferential characterisation of Banach spaces with the Radon-Nikodym Property

被引：2
作者：
Giles, JR [1 ]
机构：
[1] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2002年 / 66卷 / 02期
关键词：
D O I：
10.1017/S0004972700040156
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Banach space has the Radon-Nikodym Property if and only if every continuous weak* lower semi-continuous gauge on the dual space has a point of its domain where its subdifferential is contained in the natural embedding.
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页码：313 / 316
页数：4
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