SMOOTHNESS AND APPROXIMATIVE COMPACTNESS IN ORLICZ FUNCTION SPACES

被引：11
|
作者：
Shang, Shaoqiang [1 ]
Cui, Yunan [2 ]
Fu, Yongqiang [3 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
[2] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2014年 / 8卷 / 01期
关键词：
Orlicz function spaces; approximative compactness; extreme point; smooth space; CONVEXITY; ROTUNDITY;
D O I：
10.15352/bjma/1381782084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some criteria for approximative compactness of every weakly* closed convex set of Orlicz function spaces equipped with the Luxemburg norm are given. Although, criteria for approximative compactness of Orlicz function spaces equipped with the Luxemburg norm were known, we can easily deduce them from our main results.
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页码：26 / 38
页数：13
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