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Group inverses and Drazin inverses over Banach algebras

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Abstract

For a matrix over a complex commutative unital Banach algebra, necessary and sufficient conditions are given for the existence of its group inverse, and more generally, its Drazin inverses. The conditions are easy to check and explicit formulas for the inverses are provided. Some properties of the inverses and an application to operator theory are discussed. This note is a continuation of an earlier work of the author.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    Danrun Huang

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  1. Danrun Huang
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Huang, D. Group inverses and Drazin inverses over Banach algebras. Integr equ oper theory 17, 54–67 (1993). https://doi.org/10.1007/BF01322546

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  • DOI: https://doi.org/10.1007/BF01322546

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