Uniformly non-ln(1), locally uniformly non-ln(1) and non-ln(1) properties in Orlicz-Bochner function spaces endowed with the Orlicz norm

被引:1
作者
Gong, Wanzhong [1 ]
Zhou, Chenghua [1 ]
Dong, Xiaoli [1 ]
机构
[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
基金
美国国家科学基金会;
关键词
Orlicz-Bochner function space; Orlicz norm; Uniformly non-l(n)((1)); Locally uniformly non-l(n)((1)); Non-l(n)((1)); B-convexity; CONVEXITY; ROTUNDITY;
D O I
10.1016/j.jmaa.2018.02.041
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some criteria are given in this paper for uniformly non-l(n)((1)), locally uniformly non-l(n)((1)) and non-l(n)((1)) properties of Orlicz-Bochner function spaces endowed with the Orlicz norm. As the consequence, we can immediately get the characterization of B-convexity, uniform nonsquareness, local uniform nonsquareness and nonsquareness in Orlicz-Bochner function spaces, although some of them were obtained in recent years. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:1283 / 1297
页数:15
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