Drazin spectra of Banach space operators and Banach algebra elements

preprint2013arXivOpen access

Abstract

Given a Banach Algebra AA and a∈Aa\in A, several relations among the Drazin spectrum of aa and the Drazin spectra of the multiplication operators LaL_a and RaR_a will be stated. The Banach space operator case will be also examined. Furthermore, a characterization of the Drazin spectrum will be considered.

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