p-完美凸集和绝对p-完美凸集

上海大学学报(自然科学版) ›› 2010, Vol. 16 ›› Issue (3): 262-267.

p-完美凸集和绝对p-完美凸集

张端,刘旭飞,冷岗松

(上海大学理学院,上海 200444)

出版日期:2010-06-28 发布日期:2010-06-28

p-perfectly Convex Set and Absolutely p-perfectly Convex Set

ZHANG Duan,LIU Xu-fei,LENG Gang-song

(College of Sciences, Shanghai University, Shanghai 200444, China)

Online:2010-06-28 Published:2010-06-28

摘要/Abstract

摘要：

给出p-完美凸集、绝对p-完美凸集的定义,讨论了Banach空间中p-凸集、p-完美凸集、绝对p-完美凸集三者之间的关系, 同时给出了p-完美凸集和绝对p-完美凸集的若干性质(0

关键词: p-凸集；p-完美凸集；绝对p-完美凸集；Banach空间

Abstract:

In this paper, we definite the p-perfectly convex set and absolutely p-perfectly convex set, and study the relationship among p-convex set, p-perfectly convex set and absolutely p-perfectly convex set in the Banach space. Some properties of p-perfectly convex set and absolutely p-perfectly convex set are given (0

Key words: p-convex set; p-perfectly convex set; absolutely p-perfectly convex set; Banach space

张端,刘旭飞,冷岗松 . p-完美凸集和绝对p-完美凸集[J]. 上海大学学报(自然科学版), 2010, 16(3): 262-267.

ZHANG Duan,LIU Xu-fei,LENG Gang-song. p-perfectly Convex Set and Absolutely p-perfectly Convex Set[J]. Journal of Shanghai University（Natural Science Edition）, 2010, 16(3): 262-267.