K-very Smooth Banach Spaces  

作　　者：刘证 

出　　处：《Chinese Quarterly Journal of Mathematics》1996年第3期79-86,共8页数学季刊（英文版）

摘　　要：We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider some relations between K-very smoothness and other geometrical notions.

关 键 词：K-smooth space K-strongly smooth space K-very smooth space principle of local re-flexivity 

分 类 号：O177.2[理学—数学]