On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces
We investigate the stable perturbation of the generalized Drazin inverses of closed linear operators in Banach spaces and obtain some new characterizations for the generalized Drazin inverses to have prescribed range and null space. As special cases of our results, we recover the perturbation theore...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/131040 |
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| _version_ | 1832556718305837056 |
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| author | Qianglian Huang Lanping Zhu Xiaoru Chen Chang Zhang |
| author_facet | Qianglian Huang Lanping Zhu Xiaoru Chen Chang Zhang |
| author_sort | Qianglian Huang |
| collection | DOAJ |
| description | We investigate the stable perturbation of the generalized Drazin inverses of closed linear operators in Banach spaces and obtain some new characterizations for the generalized Drazin inverses to have prescribed range and null space. As special cases of our results, we recover the perturbation theorems of Wei and Wang, Castro and Koliha, Rakocevic and Wei, Castro and Koliha and Wei. |
| format | Article |
| id | doaj-art-f7a59b9dd38c466ea9ff6232d3cf0ee5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f7a59b9dd38c466ea9ff6232d3cf0ee52025-02-03T05:44:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/131040131040On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach SpacesQianglian Huang0Lanping Zhu1Xiaoru Chen2Chang Zhang3College of Mathematics, Yangzhou University, Yangzhou 225002, ChinaCollege of Mathematics, Yangzhou University, Yangzhou 225002, ChinaCollege of Mathematics, Yangzhou University, Yangzhou 225002, ChinaCollege of Mathematics, Yangzhou University, Yangzhou 225002, ChinaWe investigate the stable perturbation of the generalized Drazin inverses of closed linear operators in Banach spaces and obtain some new characterizations for the generalized Drazin inverses to have prescribed range and null space. As special cases of our results, we recover the perturbation theorems of Wei and Wang, Castro and Koliha, Rakocevic and Wei, Castro and Koliha and Wei.http://dx.doi.org/10.1155/2012/131040 |
| spellingShingle | Qianglian Huang Lanping Zhu Xiaoru Chen Chang Zhang On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces Abstract and Applied Analysis |
| title | On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces |
| title_full | On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces |
| title_fullStr | On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces |
| title_full_unstemmed | On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces |
| title_short | On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces |
| title_sort | on stable perturbations of the generalized drazin inverses of closed linear operators in banach spaces |
| url | http://dx.doi.org/10.1155/2012/131040 |
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