THE HAUSDORFF MEASURE OF NONCOMPACTNESS OF MATRIX OPERATORS ON SOME BK SPACES

被引：41

作者：

Mursaleen, M. ^{[1
]}

Noman, Abdullah K. ^{[1
]}

机构：

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

来源：

OPERATORS AND MATRICES | 2011年 / 5卷 / 03期

关键词：

BK space; matrix transformation; compact operator; Hausdorff measure of noncompactness; COMPACT-OPERATORS; SEQUENCE-SPACES; TRANSFORMATIONS;

D O I：

10.7153/oam-05-35

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c(0)(lambda) and l(infinity)(lambda). which have recently been introduced in [On the spaces of lambda-convergent and bounded sequences, Thai J. Math. 8(2) (2010) 311-329]. Further, by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.

引用

页码：473 / 486

页数：14

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