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Compact Operators for Almost Conservative and Strongly Conservative Matrices

Author

Listed:
  • 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 , where . 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, Hindawi, vol. 2014, pages 1-6, March.
    • Handle: RePEc:hin:jnlaaa:567317
    DOI: 10.1155/2014/567317
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