关于具(T0)公理的局部凸空间弱完备(弱完备)的特征性质

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 511-515.

关于具(T₀)公理的局部凸空间弱完备(弱完备)的特征性质

Department of Mathematics, Hulunbeier College, Hulunbeier 021008 China, School of Mathematics, Nankai University

收稿日期:2006-12-11 出版日期:2009-12-30 发布日期:2023-06-16
作者简介:Lina(1962-), female, native of Hulunbeier, Inner Mongolia, an associate professor of Hulunbeier College, engages in functional analysis.
基金资助:
Supported by the Scientific Research Fund of Colleges of Inner Mongolia(NJ09180)；

The Characteristic of W-complete (W*-complete) on LCS with the Axiom (T₀)

Department of Mathematics, Hulunbeier College, Hulunbeier 021008 China, School of Mathematics, Nankai University

Received:2006-12-11 Online:2009-12-30 Published:2023-06-16
About author:Lina(1962-), female, native of Hulunbeier, Inner Mongolia, an associate professor of Hulunbeier College, engages in functional analysis.
Supported by:
Supported by the Scientific Research Fund of Colleges of Inner Mongolia(NJ09180)；

摘要/Abstract

摘要： In this paper, it is shown that if a local convex space is weakly complete, then it is complete. Moreover, it shows that a local convex space with the axiom(To) is weakly complete(or weakly* complete) if and only if it is finite dimensional.

关键词: local convex space, weakly complete, weakly* complete, finite dimensional

Abstract: In this paper, it is shown that if a local convex space is weakly complete, then it is complete. Moreover, it shows that a local convex space with the axiom(To) is weakly complete(or weakly* complete) if and only if it is finite dimensional.

Key words: local convex space, weakly complete, weakly* complete, finite dimensional

中图分类号:

O177.91

丽娜. 关于具(T₀)公理的局部凸空间弱完备(弱完备)的特征性质[J]. 数学季刊, 2009, 24(4): 511-515.

Lina. The Characteristic of W-complete (W*-complete) on LCS with the Axiom (T₀) [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 511-515.

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关于具(T₀)公理的局部凸空间弱完备(弱完备)的特征性质

The Characteristic of W-complete (W*-complete) on LCS with the Axiom (T₀)

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