Weak compactness in locally convex cones

被引：0
作者：
M. R. Motallebi
机构：
[1] University of Mohaghegh Ardabili,Department of Mathematics, Faculty of Mathematical Sciences
来源：
Positivity | 2019年 / 23卷
关键词：
Locally convex cones; Weak compactness; Products and direct sums; 46A03; 46A50; 46A20; 20k25;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：303 / 313
页数：10
相关论文
共 10 条
[1]  
Motallebi MR(2014)Completeness on locally convex cones C. R. Math. Acad. Sci. Paris 352 785-789
[2]  
Motallebi MR(2017)Locally convex inductive limit cones RACSAM 11 913-927
[3]  
Motallebi MR(2014)Locally convex product and direct sum cones Mediterr. J. Math. 66 1387-1398
[4]  
Motallebi MR(2016)Locally convex projective limit cones Math. Slov. 75 322-329
[5]  
Motallebi MR(2017)On weak completeness of products and direct sums in locally convex cones Period. Math. Hung. 337 888-905
[6]  
Motallebi MR(2008)Duality on locally convex cones J. Math. Anal. Appl. 55 783-798
[7]  
Saiflu H(2012)Products and direct sums in locally convex cones Can. Math. Bull. 18 903-913
[8]  
Motallebi MR(2011)Locally convex quotient cones J. Convex Anal. undefined undefined-undefined
[9]  
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