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

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

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.

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Handle: RePEc:wly:jnlaaa:v:7:y:2002:i:6:p:335-347
DOI: 10.1155/S1085337502002890
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