Journal article

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

NC González, JJ Koliha, V Rakočević

Abstract and Applied Analysis | Published : 2002

Abstract

We study perturbations and continuity of the Drazin inverse of a closed linear operatorAand 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.

University of Melbourne Researchers

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