Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means

被引：17

作者：

Mursaleen, M. ^{[1
]}

Noman, Abdullah K. ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Al Bayda Univ, Fac Educ & Sci, Dept Math, Al Bayda, Yemen

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 417卷 / 01期

关键词：

BK space; Matrix transformation; Hausdorff measure of noncompactness; Compact operator; COMPACT-OPERATORS; TRANSFORMATIONS; L(P); B(R;

D O I：

10.1016/j.jmaa.2014.03.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence spaces of generalized means. Further, by applying the Hausdorff measure of noncompactness, we obtain the necessary and sufficient conditions for such operators to be compact. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：96 / 111

页数：16

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