局部凸空间的Banach-Saks性质

The Banach-Saks Properties of Locally Convex Spaces

本文对局部凸空间引进了Banach-Saks性质的定义,研究了一致凸,半自反,Banach-S k性质之间的关系,将Bsnach空间几何理论中的一些结果推广到了局部凸空间。

In this paper,the concept that a locally convex space has Banach- Saks property is proposed.The ralations among uniform convexity,semi- reflexivity and Banach-Saks properties are considered,and some results which are similar to that on Banach spaces are obtained.