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Continuity and general perturbation of the Drazin inverse for closed linear operators

Author

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  • N. Castro González
  • J. J. Koliha
  • V. Rakocevic

Abstract

We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators. The results are used to derive a theorem on the continuity of the Drazin inverse for closed operators and to describe the asymptotic behavior of operator semigroups.

Suggested Citation

  • N. Castro González & J. J. Koliha & V. Rakocevic, 2002. "Continuity and general perturbation of the Drazin inverse for closed linear operators," Abstract and Applied Analysis, Hindawi, vol. 7, pages 1-13, January.
    • Handle: RePEc:hin:jnlaaa:120562
    DOI: 10.1155/S1085337502002890
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    Cited by:

    1. Alrazi Abdeljabbar & Trung Dinh Tran, 2016. "Singular Differential Equations and -Drazin Invertible Operators," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, March.

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