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A generalized Drazin inverse

Published online by Cambridge University Press:  18 May 2009

J. J. Koliha
J. J. Koliha
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia
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The main theme of this paper can be described as a study of the Drazin inverse for bounded linear operators in a Banach space X when 0 is an isolated spectral point ofthe operator. This inverse is useful for instance in the solution of differential equations formulated in a Banach space X. Since the elements of X rarely enter into our considerations, the exposition seems to gain in clarity when the operators are regarded as elements of the Banach algebra L(X).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 3 , September 1996 , pp. 367 - 381
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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