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.

引用

页码：473 / 480

页数：7

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