Large structures in certain subsets of Orlicz spaces

被引：8

作者：

Akbarbaglu, I. ^{[1
]}

Maghsoudi, S. ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, Zanjan 45195313, Iran

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 11期

关键词：

Orlicz space; Lineability; Spaceability; Strong algebrability; LINEABILITY; ALGEBRABILITY; SETS; SPACEABILITY; SEQUENCES;

D O I：

10.1016/j.laa.2013.01.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assume that phi and phi(n)(n >= 1) are Young functions. In this paper, we prove that under sharp conditions on a measure space and the Young functions phi and phi(n)'s, the subset of functions in the corresponding Orlicz space L-phi. which are not in L-phi n, for all n is an element of N, admits various large linear structures. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：4363 / 4373

页数：11

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