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

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...

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Bibliographic Details
Main Authors: N. Castro González, J. J. Koliha, V. Rakocevic
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337502002890