p-完美凸集和绝对p-完美凸集  

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

作　　者：张端[1] 刘旭飞[1] 冷岗松[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2010年第3期262-267,共6页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10671117)

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<p≤1).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（0p≤1）.

关 键 词：p-凸集 p-完美凸集 绝对p-完美凸集 BANACH空间 

分 类 号：O186.5[理学—数学]