Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections |
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| Authors: | N. Castro González J.J. Koliha Yimin Wei |
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| Affiliation: | 1. Departamento de Matemática Aplicada, Facultad de Informática , Universidad Politécnica de Madrid , Boadilla del Monte, Madrid, 28660, Spain;2. Department of Mathematics and Statistics , The University of Melbourne , Melbourne, VIC, 3010, Australia;3. Department of Mathematics , Fudan University , Shanghai, 200433, P. R. China |
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| Abstract: | We study perturbations of the Drazin inverse of a closed linear operator A for the case when the perturbed operator has the same spectral projection as A . This theory subsumes results recently obtained by Wei and Wang, Rako ) evi ' and Wei, and Castro and Koliha. We give explicit error estimates for the perturbation of Drazin inverse, and error estimates involving higher powers of the operators. |
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| Keywords: | Drazin Inverse Closed Linear Operators Perturbation Perturbed Linear Equation |
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