A REFLEXIVE ADMISSIBLE TOPOLOGICAL GROUP MUST BE LOCALLY COMPACT

被引：13
|
作者：
MARTINPEINADOR, E
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 11期
关键词：
ADMISSIBLE TOPOLOGY; COMPACT OPEN TOPOLOGY; REFLEXIVE GROUP; CONTINUOUS CONVERGENCE STRUCTURE; LOCALLY COMPACT;
D O I：
10.2307/2161108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a reflexive topological group, and G(boolean AND) its group of characters, endowed with the compact open topology. We prove that the evaluation mapping from G(boolean AND) x G into the torus T is continuous if and only if G is locally compact. This is an analogue of a well-known theorem of Arens on admissible topologies on C(X).
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页码：3563 / 3566
页数：4
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