Compact Operators for Almost Conservative and Strongly Conservative Matrices

S. A. Mohiuddine, M. Mursaleen and A. Alotaibi

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f, X), where X = c, c0, l∞. These results are achieved by applying the Hausdorff measure of noncompactness.

Date: 2014
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https://doi.org/10.1155/2014/567317

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:567317

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