Title of article
Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means
Author/Authors
Mursaleen، نويسنده , , M. and Noman، نويسنده , , Abdullah K.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
16
From page
96
To page
111
Abstract
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.
Keywords
BK space , Hausdorff measure of noncompactness , Compact operator , Matrix transformation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564564
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