一阶特征函数与Banach空间的若干几何性质

THE FIRST ORDER CHARACTERISTIC FUNCTIONS AND SOME GEOMETRIC PROPERTIES IN BANACH SPACES

重点研究用Ｂａｎａｃｈ空间上一阶特征函数刻划Ｂａｎａｃｈ空间几何特征问题。给出了关于凸性、光滑性及非方性等结果。

Abstract In this paper,the problem is studied emphatically that the geometric characteriza-tion of Banach Spaces is portrayed by the first order characteristic functions in BanachSpaces,some results are given on convexity,smoothness and non-square,etc..SUBJECT TERMS:the first order characteristic functions,Banach Spaces,convexity,smoothness,non-square