赋广义Orlicz范数的Orlicz序列空间的端点和强端点

华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (1): 53-60.

赋广义Orlicz范数的Orlicz序列空间的端点和强端点

段丽芬¹, 崔云安²

1. 通化师范学院数学系, 吉林通化 134002; 2. 哈尔滨理工大学应用科学学院, 哈尔滨 150080

收稿日期:2008-05-14 修回日期:2008-06-30 出版日期:2009-01-25 发布日期:2009-01-25
通讯作者: 段丽芬

Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese)

DUAN Li-fen¹, CUI Yun-an²

1.Department of Mathematics, Tonghua Teachers College, Tonghua Jinlin 134002, China; 2.Applied Sciences College, Harbin Univ Sci Tech, Harbin 150080 China

Received:2008-05-14 Revised:2008-06-30 Online:2009-01-25 Published:2009-01-25
Contact: DUAN Li-fen

摘要/Abstract

摘要： 给出了由~$N$-函数生成的赋广义~Orlicz~范数的~Orlicz~序列空间中端点和强端点的判据, ~%
并据此方便地得到了由~$N$-函数生成的~Orlicz~序列空间关于广义~Orlicz~范数严格凸和中点局部一致凸的条件.

关键词: 广义Orlicz范数, 端点, 强端点, Orlicz序列空间, 广义Orlicz范数, 端点, 强端点, Orlicz序列空间

Abstract: For the Orlicz sequence spaces generated by a $N$-function
and equipped with the generalized Orlicz norm, criteria of extreme
points and strongly extreme points were presented. Based on the
criterias, both sufficient and necessary conditions were derived to
make these spaces be convex and mid-point locally uniform convex.

Key words: extreme point, strongly extreme point, Orlicz sequence spac, generalized Orlicz norm, extreme point, strongly extreme point, Orlicz sequence spac

中图分类号:

O177. 3

段丽芬;崔云安. 赋广义Orlicz范数的Orlicz序列空间的端点和强端点[J]. 华东师范大学学报(自然科学版), 2009, 2009(1): 53-60.

DUAN Li-fen;CUI Yun-an. Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2009, 2009(1): 53-60.