Applications of measure of noncompactness in operators on the spaces sα, s0α, sα(C) lpα

被引：41
作者：
de Malafosse, Bruno
Rakocevic, Vladimir
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia
[2] Univ Havre, LMAH, IUT Le Havre, F-76610 Le Havre, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期
关键词：
measure noncompactness; operator; matrix transformation; sequence spaces;
D O I：
10.1016/j.jmaa.2005.10.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize some operators and matrix transformations in the sequence spaces s(alpha), s(alpha)(0), s(alpha)((c)), l(alpha)(p). Moreover, using the Hausdorff measure of noncompactness necessary and sufficient conditions are formulated for a linear operator between the mentioned spaces to be compact. Among other things, some results of Cohen and Dunford are recovered. (c) 2005 Elsevier Inc. All rights reserved.
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页码：131 / 145
页数：15
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