局部凸空间的光滑性

On the Smoothness of Locally Convex Spaces

将Ｂａｎａｃｈ 空间光滑性的概念推广到局部凸空间，给出了局部凸空间的光滑性、强光滑性、一致光滑性等概念，并讨论了几种光滑性之间的关系及光滑性与凸性的关系．

In this paper we generalized some geometrical smoothness comcepts in Banach spaces into locally convex spaces. They are the smoothness, strong smoothness, uniformal smoothness, convex,etc. The relationships between them have also been discussed.