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A generalized Drazin inverse

Published online by Cambridge University Press:  18 May 2009

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
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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