Measure of noncompactness of linear operators between spaces of sequences that are ((N)over-bar, q) summable or bounded

被引：14

作者：

Malkowsky, E

Rakocevic, V

机构：

[1] Univ Giessen, Inst Math, D-35392 Giessen, Germany

[2] Univ Nish, Dept Math, Fac Philosophy, YU-18000 Nish, Yugoslavia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2001年 / 51卷 / 03期

关键词：

BK spaces; bases; matrix transformations; measure of noncompactness;

D O I：

10.1023/A:1013727821173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate linear operators between arbitrary BK spaces X and spaces Y of sequences that are ((N) over bar ,q) summable or bounded. We give necessary and sufficient conditions for infinite matrices A to map X into Y. Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for A to be a compact operator.

引用

页码：505 / 522

页数：18

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