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

On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces
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Banach空间中闭线性算子广义Drazin逆的稳定扰动

DOI:
10.1155/2012/131040
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发表时间:
2012-09
影响因子:
--
通讯作者:
Zhang, Chang
Zhang, Chang
中科院分区:
--
文献类型:
--
作者:
Huang, Qianglian;Zhu, Lanping;Chen, Xiaoru;Zhang, Chang

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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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