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The perturbation theory for the Drazin inverse and its applications II

The perturbation theory for the Drazin inverse and its applications II

Abstract We study the perturbation of the generalized Drazin inverse for the elements of Banach algebras and bounded linear operators on Banach space. This work, among other things, extends the results obtained by the second author and Guorong Wang on the Drazin inverse for matrices.