The measure of noncompactness of linear operators between spaces of Mth-order difference sequences

被引：0

作者：

Malkowsky, E

Rakocevic, V

机构：

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

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

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 1999年 / 35卷 / 3-4期

关键词：

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

D O I：

暂无

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 certain sequence spaces X and Y Among other things, if X is any BK space and Y is a sequence space of bounded or convergent m(th)-order differences, then we find 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：381 / 395

页数：15

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