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

N. Castro González, J. J. Koliha and V. Rakocevic

Abstract and Applied Analysis, 2002, vol. 7, 1-13

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:120562

DOI: 10.1155/S1085337502002890

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