Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618646 | Journal of Mathematical Analysis and Applications | 2010 | 9 Pages |
Abstract
In this paper, we investigate additive properties of generalized Drazin inverse of two Drazin invertible linear operators in Banach spaces. Under the commutative condition of PQ=QP, we give explicit representations of the generalized Drazin inverse d(P+Q) in term of P, Pd, Q and Qd. We consider some applications of our results to the perturbation of the Drazin inverse and analyze a number of special cases.
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