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- Title
On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces.
- Authors
Huang, Qianglian; Zhu, Lanping; Chen, Xiaoru; Zhang, Chang
- Abstract
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 ofWei andWang, Castro and Koliha, Rakocevic andWei, Castro and Koliha andWei.
- Subjects
GENERALIZED inverses of linear operators; PERTURBATION theory; BANACH spaces; FUNCTIONAL analysis; VECTOR spaces; OPERATOR theory
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/131040