Compact Operators on some Generalized Mixed Norm Spaces

被引：0
|
作者：
Alotaibi, A. [1 ]
Malkowsky, E. [2 ,3 ]
Nergiz, H. [3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Giessen, Dept Math, D-35392 Giessen, Germany
[3] Fatih Univ, Dept Math, Fac Arts & Sci, TR-34500 Istanbul, Turkey
来源：
FILOMAT | 2014年 / 28卷 / 05期
关键词：
Mixed norm spaces; matrix transformations; Hausdorff measure of noncompactness; compact operators;
D O I：
10.2298/FIL1405019A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish identities or estimates for the Hausdorff measure of noncompactness of operators from some generalized mixed norm spaces into any of the spaces c(0), c, l(1), and [l(1), l(infinity)](<m(mu)>). Furthermore we give necessary and sufficient conditions for the operators in these cases to be compact. Our results are complementary to those in [1, 3, 13].
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页码：1019 / 1026
页数：8
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