Vector valued Orlicz-Lorentz sequence spaces and their operator ideals

被引：18
|
作者：
Mohiuddine, S. A. [1 ]
Raj, Kuldip [2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 02期
关键词：
Lorentz sequence spaces; s-numbers of operators; Musielak-Orlicz function; difference sequence spaces; operator ideals;
D O I：
10.22436/jnsa.010.02.01
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we introduce and study vector valued Orlicz-Lorentz sequence spaces l(p),(q),M,u,Delta,A (X) on Banach space X with the help of a Musilak-Orlicz function M and for different positive indices p and q. We also study their cross and topological duals. Finally, we introduce the operator ideals with the help of the corresponding scalar sequence spaces and s-numbers. (C) 2017 All rights reserved.
引用
收藏
页码：338 / 353
页数：16
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