Banach空间的强光滑性及对偶空间的严格凸性

On the Strong Smoothness of Banach Spaces and the Strict Convexity of the Dual Spaces

本文得到Ｂａｎａｃｈ空间强光滑的充要条件及其对偶空间严格凸的充分条件，并大大简化了文［１］全部定理的证明。

In this paper,we obtain a sufficient condition for dual space to be a strictly convex space,and a necessary and sufficient condition for strongly smcoth Banach space,Besides,we simplify theproofs of the theorems in[1].