赋范空间一些几何性质的对偶特征

Dual Characterizations of Some Geometric Properties of Normed Space

证明了本文定义的（Ｇ＾＊），（Ｋ＾＊）性质是（Ｇ），（Ｋ）空间的对偶性质；利用暴露点的概念证明了一个Ｂａｎａｃｈ空间是一致光滑的充要条件，同时也证明了其它一些几何性质的对偶特征。

The(G~*)(resp.(K~*))normed space is defined.It is shown thatif X~* is a(G~*)(resp.(G)(K~*)(K))space then X is a(G)(resp.(G~*)(K)(K*))space.Some unified dual characterizations of varioustypes of smoothness in a Banach space are given by using various types ofexposed points.