Abstract and Applied Analysis

Abstract and Applied Analysis / 2002 / Article

Open Access

Volume 7 |Article ID 120562 | https://doi.org/10.1155/S1085337502002890

N. Castro González, J. J. Koliha, V. Rakocevic, "Continuity and general perturbation of the Drazin inverse for closed linear operators", Abstract and Applied Analysis, vol. 7, Article ID 120562, 13 pages, 2002. https://doi.org/10.1155/S1085337502002890

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

Received17 Jun 2000

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.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views122
Downloads469
Citations

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.