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局部凸分离空间的列凸紧性
引用本文:黄利忠. 局部凸分离空间的列凸紧性[J]. 山西大同大学学报(自然科学版), 2009, 25(4): 15-16,19
作者姓名:黄利忠
作者单位:山西大同大学数学与计算机科学学院,山西大同,037009
摘    要:在局部凸分离空间中提出了列凸紧性的概念,给出了序列完备的空间一定具有列紧性的结论.最后给出了偶对具有列凸紧性的概念,并对它做了简单探讨.

关 键 词:列凸紧性  序列完备  极拓扑

Sequentially Convex Compactness Property for Locally Convex Separated Spaces
HUANG Li-zhong. Sequentially Convex Compactness Property for Locally Convex Separated Spaces[J]. Journal of Shanxi Datong University(Natural Science Edition), 2009, 25(4): 15-16,19
Authors:HUANG Li-zhong
Abstract:The notion of sequentially convex compactness property for locally convex separated spaces is introduced in this paper, and the conclusion that sequentially complete spaces have sequentially convex compactness property is released .At last ,dual pairs having the sequentially convex compactness property is introduced and simply researched.
Keywords:sequentially convex compactness property  sequentially complete  polar topology
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