On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces | Zendy

Qianglian Huang | Zendy; Lanping Zhu | Zendy; Xiaoru Chen | Zendy; Chang Zhang | Zendy

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On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces

Author(s) -

Qianglian Huang,

Lanping Zhu,

Xiaoru Chen,

Chang Zhang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/131040

Subject(s) - mathematics , drazin inverse , linear operators , banach space , pure mathematics , perturbation (astronomy) , mathematical analysis , inverse , geometry , physics , quantum mechanics , bounded function

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

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