On the measure of noncompactness of linear operators in spaces of strongly α-summable and bounded sequences

被引：0
|
作者：
Bruno de Malafosse
Eberhard Malkowsky
机构：
[1] I.U.T Université du Havre,Mathematisches Institut
[2] Universität Giessen,Department of Mathematics, Faculty of Sciences and Mathematics
[3] University of Niš,undefined
来源：
Periodica Mathematica Hungarica | 2007年 / 55卷
关键词：
sequence spaces; matrix domains; dual space; infinite linear systems; Banach algebras with identity; 40H05; 46A45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we characterize classes of matrix transformations from BK spaces into spaces of bounded sequences and their subclasses of infinite matrices that define compact operators. Furthermore, using these results and the solvability of certain infinite linear systems we give necessary and sufficient conditions for A to be a compact operator on spaces that are strongly α-bounded or summable.
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页码：129 / 148
页数：19
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