Drazin spectra of Banach space operators and Banach algebra elements
Enrico Boasso

TL;DR
This paper investigates the relationships between the Drazin spectra of elements in Banach algebras and operators, providing new characterizations and extending results to Banach space operators.
Contribution
It introduces new relations and characterizations of the Drazin spectrum for Banach algebra elements and operators, enhancing understanding of spectral properties.
Findings
Relations among Drazin spectra of algebra elements and multiplication operators
Characterization of the Drazin spectrum in Banach algebras
Extension of spectral results to Banach space operators
Abstract
Given a Banach Algebra and , several relations among the Drazin spectrum of and the Drazin spectra of the multiplication operators and 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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Taxonomy
TopicsMatrix Theory and Algorithms · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods
