Algebraic properties of the uniform closure of spaces of continuous functions

被引：1
|
作者：
Garrido, I
Montalvo, F
机构：
[1] Departamento de Matemáticas, Universidad de Extremadura
来源：
PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS: TENTH SUMMER CONFERENCE AT AMSTERDAM | 1996年 / 788卷
关键词：
uniform closure; cozero-set; property A; inverse-closed subring;
D O I：
10.1111/j.1749-6632.1996.tb36801.x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a completely regular space X, C(X) denotes the algebra of all real-valued and continuous functions over X. This paper deals with the problem of knowing when the uniform closure of certain subsets of C(X) has certain algebraic properties. In this context we give an internal condition, ''property A,'' to characterize the linear subspaces whose uniform closure is an inverse-closed subring of C(X).
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页码：101 / 107
页数：7
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