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ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS

Published online by Cambridge University Press:  17 June 2002

N. Castro González ,
J. J. Koliha  and
Yimin Wei
N. Castro González
Affiliation:
Departamento de Matemática Aplicada, Facultad de Informática, Universidad Politécnica de Madrid, Spain (nieves@fi.upm.es)
J. J. Koliha
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, Australia (j.koliha@ms.unimelb.edu.au)
Yimin Wei
Affiliation:
Department of Mathematics, Fudan University, Shanghai 200433, China (ymwei@fudan.edu.cn)
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Abstract

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The purpose of this paper is to derive an integral representation of the Drazin inverse of an element of a Banach algebra in a more general situation than previously obtained by the second author, and to give an application to the Moore–Penrose inverse in a $C^*$-algebra.

AMS 2000 Mathematics subject classification:Primary 46H05; 46L05

Keywords

Banach algebraDrazin inverseintegral representation
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 2 , June 2002 , pp. 327 - 331
Copyright
Copyright © Edinburgh Mathematical Society2002