局部凸分离空间的列凸紧性

Sequentially Convex Compactness Property for Locally Convex Separated Spaces

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.

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.