Riesz spaces of real continuous functions

被引：0
|
作者：
F. Montalvo
A. Pulgarín
B. Requejo
机构：
[1] Universidad de Extremadura,Departamento de Matemáticas
来源：
Positivity | 2010年 / 14卷
关键词：
Archimedean Riesz space; Weak order unit; -uniformly complete; -semisimple; -separating; 2-universally ; -complete; 46E05; 06F20; 54C35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An Archimedean Riesz space E is isomorphic to C(X) for some completely regular Hausdorff space X if and only if there exists a weak order unit e > 0 for which E is e-uniformly complete, e-semisimple, e-separating and 2-universally e-complete.
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页码：473 / 480
页数：7
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