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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502002890 |
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| author | N. Castro González J. J. Koliha V. Rakocevic |
| author_facet | N. Castro González J. J. Koliha V. Rakocevic |
| author_sort | N. Castro González |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-02d4e02b4c8849d18924bc2c00699d4e |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-02d4e02b4c8849d18924bc2c00699d4e2025-08-20T02:03:26ZengWileyAbstract and Applied Analysis1085-33751687-04092002-01-017633534710.1155/S1085337502002890Continuity and general perturbation of the Drazin inverse for closed linear operatorsN. Castro González0J. J. Koliha1V. Rakocevic2Departmento de Matemática Aplicada, Facultad de Informática, Universidad Politécnica de Madrid, Boadilla del Monte, Madrid 28660, SpainDepartment of Mathematics and Statistics, The University of Melbourne, Victoria 3010, AustraliaDepartment of Mathematics, Faculty of Philosophy, University of Niš, Yugoslavia 1800 Niš, SerbiaWe 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.http://dx.doi.org/10.1155/S1085337502002890 |
| spellingShingle | N. Castro González J. J. Koliha V. Rakocevic Continuity and general perturbation of the Drazin inverse for closed linear operators Abstract and Applied Analysis |
| title | Continuity and general perturbation of the Drazin inverse for closed linear operators |
| title_full | Continuity and general perturbation of the Drazin inverse for closed linear operators |
| title_fullStr | Continuity and general perturbation of the Drazin inverse for closed linear operators |
| title_full_unstemmed | Continuity and general perturbation of the Drazin inverse for closed linear operators |
| title_short | Continuity and general perturbation of the Drazin inverse for closed linear operators |
| title_sort | continuity and general perturbation of the drazin inverse for closed linear operators |
| url | http://dx.doi.org/10.1155/S1085337502002890 |
| work_keys_str_mv | AT ncastrogonzalez continuityandgeneralperturbationofthedrazininverseforclosedlinearoperators AT jjkoliha continuityandgeneralperturbationofthedrazininverseforclosedlinearoperators AT vrakocevic continuityandgeneralperturbationofthedrazininverseforclosedlinearoperators |