关于半自反空间的一个闭图定理

A Closed Graph Theorem for Semi-Reflexive Spaces

中文关键词:  局部凸空间  拓扑对偶空间  闭图定理

英文关键词:locally convex spaces  topological dual spaces  closed graph theorems.

中文摘要:

      本文给出了一个关于半自反ｉｎｆｒａ－（ｕ）空间的闭图定理．作为推论，证明了从速完备 Ｍａｚｕｒ空间到半自反ｉｎｆｒａ－（ｕ）空间的闭图线性映照为弱连续、Ｍａｃｋｅｙ连续和强连续的．

英文摘要:

      In this paper, a closed graph theorem for semi-reflexive infra-(u) spaces is given. As a corollary, it follows that closed graph linear maps from fast complete Mazur spaces into semi-reflexive infra-(u) spaces are weakly continuous, Mackey continuous and strongly con- tinuous.