Weak compactness of certain sets of measures

被引：0
|
作者：
Khurana, SS [1 ]
机构：
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 10期
关键词：
Montel locally convex space; Stonian space; Frechet space; lifting of measures;
D O I：
10.1090/S0002-9939-03-06877-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a compact Hausdorff space X and a Montel Hausdorff locally convex space E, let F = (C(X, E), u), u being the uniform topology. We determine the necessary and sufficient conditions for an equicontinuous H subset of F' to be sigma(F', F")-compact. Special results are obtained when X is an F-space or a sigma-Stonian space.
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页码：3251 / 3255
页数：5
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