Compact operators on sequence spaces associated with the Copson matrix of order α

被引：3

作者：

Mursaleen, M. ^{[1
,2
]}

Edely, Osama H. H. ^{[3
]}

机构：

[1] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[2] St 1 West, Aligarh 202002, Uttar Pradesh, India

[3] Tafila Tech Univ, Dept Math, POB 179, Tafila 66110, Jordan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Sequence spaces; Cesaro matrix; Copson matrix; Copson matrix of order alpha; Matrix transformations; Hausdorff measure of noncompactness; Compact operators; HAUSDORFF MEASURE; TRANSFORMATIONS; NONCOMPACTNESS;

D O I：

10.1186/s13660-021-02713-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study characterizations of some matrix classes (C-(alpha)(l(p)), l(infinity)), (C-(alpha)(l(p)), c), and (C-(alpha)(l(p)), c(0)), where C-(alpha)(l(p)) is the domain of Copson matrix of order a in the space l(p) (0 < p < 1). Further, we apply the Hausdorff measures of noncompactness to characterize compact operators associated with these matrices.

引用

页数：10

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