Drop properties and approximative compactness in Orlicz-Bochner function spaces

被引：4

作者：

Gong, Wanzhong ^{[1
,2
]}

Shi, Zhongrui ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Anhui Normal Univ, Dept Math, Anhui Wuhu 241000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Orlicz-Bochner function spaces; Orlicz norm; Luxemburg norm; Radon-Nikodym property; drop property; weak* drop property; nearly strong convex; approximative compactness;

D O I：

10.1016/j.jmaa.2008.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The representation of dual spaces of E-M (, X), owing to its extensive application, is given in this paper. Using the representation, we get the sufficient and necessary conditions of L-M(mu, X) possessing drop property, and extend the result of Hudzik and Wang [H. Hudzik, B. Wang, Approximative compactness in Orlicz spaces, J. Approx. Theory 95 (1998) 82-89]. Simultaneously, under some conditions, the weak* drop property in L-M (mu, X*) and L-M (mu, X)* is discussed. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：748 / 756

页数：9

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