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The perturbation theory for the Drazin inverse and its applications II

Part of: Basic linear algebra General theory of linear operators

Published online by Cambridge University Press:  09 April 2009

Vladimir Rakočevič  and
Yimin Wei
Vladimir Rakočevič
Affiliation:
University of Niš Faculty of Philosophy Department of Mathematics Ćirila and Metodija 2 18000 NišYugoslavia—Serbia e-mail: vrakoc@bankerinter.net
Yimin Wei
Affiliation:
Department of Mathematics and Laboratory of Nonlinear Science Fudan UniversityShanghai 200433 P.R.China e-mail: ymwei@fudan.edu.cn
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Abstract

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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.

Keywords

generalized Drazin inverseBanach algebraperturbationlinear equation.

MSC classification

Secondary: 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 47A53: (Semi-) Fredholm operators; index theories 15A09: Matrix inversion, generalized inverses
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 2 , April 2001 , pp. 189 - 198
Copyright
Copyright © Australian Mathematical Society 2001

References

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