Weak compactness in locally convex cones

被引：4

作者：

Motallebi, M. R. ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Math Sci, Dept Math, Ardebil, Iran

来源：

POSITIVITY | 2019年 / 23卷 / 02期

关键词：

Locally convex cones; Weak compactness; Products and direct sums;

D O I：

10.1007/s11117-018-0607-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the coarsest weak topologies, we present the necessary and sufficient conditions for the weak upper, lower and symmetric compactness of subsets in cones. This leads us to investigate the weakly compact subsets in product cones and discuss the X-topologies of the weakly compact subsets on direct sum cones.

引用

页码：303 / 313

页数：11

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