Article ID Journal Published Year Pages File Type
4616031 Journal of Mathematical Analysis and Applications 2014 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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