基本的局部实心Riesz空间

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 328-332.

基本的局部实心Riesz空间

Department of Mathematics Nankai University Tianjin 300071,China Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China

收稿日期:2004-11-30 出版日期:2007-09-30 发布日期:2023-10-25
作者简介: CHEN Jin-xi(1971-), male, native of Guangshan, Henan, Ph.D., engages in functional analysis.
基金资助:
Supported by the Research Fund for the Doctoral Program of Higher Educa- tion(20010055013)

Fundamental Locally Solid Riesz Spaces

Department of Mathematics Nankai University Tianjin 300071,China Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China

Received:2004-11-30 Online:2007-09-30 Published:2023-10-25
About author: CHEN Jin-xi(1971-), male, native of Guangshan, Henan, Ph.D., engages in functional analysis.
Supported by:
Supported by the Research Fund for the Doctoral Program of Higher Educa- tion(20010055013)

摘要/Abstract

摘要： In this paper we focus ourselves on the positive cone of the locally solid Riesz spaces to characterize the fundamentality.From one example the article indicates that the fundamentality of the locally solid Riesz space is independent from the Lebesgue property.

关键词: locally solid Riesz space;fundamental locally solid Riesz space, positive cone

Abstract: In this paper we focus ourselves on the positive cone of the locally solid Riesz spaces to characterize the fundamentality.From one example the article indicates that the fundamentality of the locally solid Riesz space is independent from the Lebesgue property.

Key words: locally solid Riesz space;fundamental locally solid Riesz space, positive cone

中图分类号:

O177.2

陈金喜.

基本的局部实心Riesz空间

[J]. 数学季刊, 2007, 22(3): 328-332.

CHEN Jin-xi. Fundamental Locally Solid Riesz Spaces[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 328-332.

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