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Compact Operators for Almost Conservative and Strongly Conservative Matrices

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  • S. A. Mohiuddine
  • M. Mursaleen
  • A. Alotaibi

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.

Suggested Citation

  • S. A. Mohiuddine & M. Mursaleen & A. Alotaibi, 2014. "Compact Operators for Almost Conservative and Strongly Conservative Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:567317
    DOI: 10.1155/2014/567317
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    References listed on IDEAS

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    1. Bruno De Malafosse & Eberhard Malkowsky & Vladimir Rakocevic, 2006. "Measure of noncompactness of operators and matrices on the spaces c and c 0," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-5, April.
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    1. S. A. Mohiuddine & M. Mursaleen & A. Alotaibi, 2014. "Erratum to “Compact Operators for Almost Conservative and Strongly Conservative Matrices”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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