On characterizing Riesz spaces C(X) without Yosida representation

被引：0
|
作者：
M. Hušek
A. Pulgarín
机构：
[1] Charles University,
[2] University J.E. Purkyně,undefined
[3] University of Extremadura,undefined
来源：
Positivity | 2013年 / 17卷
关键词：
Archimedean Riesz space; Locally uniformly complete; Real-valued continuous functions; Weak order unit; Zero-separation; 46E05; 06F20; 54C35;
D O I：
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中图分类号：
学科分类号：
摘要：
We characterize Riesz spaces C(X) of real-valued continuous functions on a topological (Tychonoff) space X without using the Yosida representation theorem. The approach is elementary by using a simple description of zero-sets and a kind of local uniform completeness avoiding inversion closeness.
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页码：515 / 524
页数：9
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