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

oleh: N. Castro González, J. J. Koliha, V. Rakocevic

Format: Article
Diterbitkan: Wiley 2002-01-01

Deskripsi

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.