Banach空间的一些新的几何性质(英文)

Some New Geometric Properties of Banach Spaces

对Ｂａｎａｃｈ空间引进了几种新的几何性质，它们是几何性质（Ｃ—Ｋ）的对偶性质．此外，我们得到了关于这些新的几何性质的一些重要而有用的结果．

In , Wang Jianhua introduced three geometric properties (C-Ⅰ) (C-Ⅱ) (C-Ⅲ) for Banach spaces and showed its important application in metric projection. In this paper, we introduce five geometric properties (C-Ⅰ)′,(S-Ⅰ),(S-Ⅱ),(S-Ⅲ),(S-Ⅰ)′ for Banach spaces and prove that property (C-Ⅰ)(resp. (C-Ⅰ)′,(C-Ⅱ),(C-Ⅲ)) and property (S-Ⅰ)(resp. (S-Ⅰ)′,(S-Ⅱ),(S-Ⅲ)) are daul properties. In additon, we obtained some usefull and important results about geometric properties (S-Ⅰ),(S-Ⅰ)′,(S-Ⅱ),(S-Ⅲ).