期刊论文

中文

喀什大学学报

2096-2134

2004

25

6

2-5

10.3969/j.issn.1006-432X.2004.06.002

湖南省教育厅科研资助（02C132）.；

本校为第一机构

概述了Banach空间一致凸、(弱)局一致凸、中点局一致凸、(局)各向一致凸、(弱)紧局一致凸、强凸、非常凸、严格凸等凸性概念,讨论了它们之间的相互关系,并给出了它们等价的一些条件.

We introduce the conception of some convexities of Banach space, such as uniformly convexity,(weekly) local uniformly convexity, midpoint local uniform convexity,(local) uniformly convexity in every directions,(weakly) compact local uniformly convexity, strong convexity,very convexity and strict convexity,discuss their correlations and give some conditions r...