The Perturbation Classes Problem for Generalized Drazin Invertible Operators II
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We investigate the perturbation problems of left and right generalized Drazin invertibility of bounded linear operators on Hilbert spaces. Some algebraic and topological characterizations are presented and some new perturbation results are obtained essentially via the quasinilpotent part and the analytic core. We also investigate some relationships between these interior points and other operators related to Fredholm theory, particularly left Browder operators as well as right Browder operators.
KeywordsGeneralized Drazin invertible operators Left and right generalized Drazin invertible operators Perturbation Quasinilpotent part Analytic core Left and right Browder operators
Mathematics Subject ClassificationPrimary 47A10 47A55 Secondary 47B06 47B07