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Perturbation of the generalized Drazin inverse. (English) Zbl 1221.47001
The Drazin inverse of an operator has applications in many areas. In this paper, the authors study perturbions of generalized Drazin (GD) invertible operators, and they provide, under certain hypotheses, explicit GD-inverse expressions of those perturbations.

MSC:
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
15A09 Theory of matrix inversion and generalized inverses
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