Continuity and general perturbation of the Drazin inverse for closed linear operators
NC González, JJ Koliha, V Rakočević
Abstract and Applied Analysis | Published : 2002
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.