K-very Smooth Banach Spaces

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 79-86.

K-very Smooth Banach Spaces

Anshan Institute of Iron and Steel Technology,Anshan,Liaoning,114002

收稿日期:1995-02-09 出版日期:1996-09-30 发布日期:2024-12-31

K-very Smooth Banach Spaces

Anshan Institute of Iron and Steel Technology,Anshan,Liaoning,114002

Received:1995-02-09 Online:1996-09-30 Published:2024-12-31

摘要/Abstract

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

Abstract: 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.

Key words: K-smooth space, K-strongly smooth space, K-very smooth space, principle of local re- flexivity

中图分类号:

O177.2

刘证 . K-very Smooth Banach Spaces[J]. 数学季刊, 1996, 11(3): 79-86.

Liu Zheng. K-very Smooth Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 79-86.

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K-very Smooth Banach Spaces

K-very Smooth Banach Spaces

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