闭算子的列连续性和弱拓扑的序列收敛  

The Sequential Continuity of Closed Operators and the Sequential Convergence of Week Topology

作　　者：杨兵[1] 

机构地区：[1]兰州大学数学系

出　　处：《兰州大学学报（自然科学版）》1990年第3期6-10,共5页Journal of Lanzhou University(Natural Sciences)

摘　　要：本文给出局部凸空间上的线性闭算子具有列连续的两个结果,运用所得的结果讨论了 Banach空间几何理论中的 Schur 问题,给出这一问题一个充要条件。In this paper,the following main results are obtained.1)Let E be alc space.Let F be sequentially Br complete and letf:E→F be,linear,closed graph,and almost seqentially continuous.Thenf is sequentially continuous.2)Let E be a S—barrelled space.Let F be a sequentilly Brcomplete space.Then each linear map with closed graph from E to F issequentially c(?)ntinuous.3)Let E be a Banach space.Then E is a Schur space if and ifonly the weak topology o(E,E′)is S—barrelled topology.

关 键 词：列连续 列Br完备 S桶拓扑 闭算子 

分 类 号：O177.3[理学—数学]