CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m

被引：0

作者：

Ivana Djolovi ^{[1
]}

Eberhard Malkowsky ^{[2
]}

机构：

[1] Technical Faculty, University of Belgrade

[2] Department of Mathematics, Faculty of Science, Fatih University

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 04期

关键词：

difference sequence spaces of order m; matrix transformations; compact operators; Hausdorff measure of noncompactness;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences e r 0 (△ ( m ) ), e r c (△ ( m ) ) and e r ∞ (△ ( m ) ) and characterized some classes of matrix transformations on them. In our paper, we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces. For that purpose, the spaces are treated as the matrix domains of a triangle in the classical sequence spaces c 0 , c and ∞ . The main tool for our characterizations is the Hausdorff measure of noncompactness.

引用

页码：1465 / 1474

页数：10

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