Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means |
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| Authors: | M Mursaleen Abdullah K Noman |
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| Institution: | 1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India;2. Department of Mathematics, Faculty of Education and Science, Al Bayda University, Yemen |
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| 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. |
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| Keywords: | BK space Matrix transformation Hausdorff measure of noncompactness Compact operator |
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