In this paper, it is shown that if a local convex space is weakly complete, then it is complete. Moreover, it shows that a local convex space with the axiom （To） is weakly complete（or weakly＊ complete） if and onl...In this paper, it is shown that if a local convex space is weakly complete, then it is complete. Moreover, it shows that a local convex space with the axiom （To） is weakly complete（or weakly＊ complete） if and only if it is finite dimensional.展开更多
基金Supported by the Scientific Research Fund of Colleges of Inner Mongolia(NJ09180)
文摘In this paper, it is shown that if a local convex space is weakly complete, then it is complete. Moreover, it shows that a local convex space with the axiom （To） is weakly complete（or weakly＊ complete） if and only if it is finite dimensional.
