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arXiv · 1504.02952

Generalized B-Fredholm Banach algebra elements

Milos D. Cvetkovic·Enrico Boasso·Snezana C. Zivkovic-Zlatanovic
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Abstract

Given a (not necessarily continuous) homomorphism between Banach algebras $\T\colon\A\to\B$, an element $a\in\A$ will be said to be B-Fredholm (respectively generalized B-Fredholm) relative to $\T$, if $\T(a)\in \B$ is Drazin invertible (respectively Koliha-Drazin invertible). In this article, the aforementioned elements will be characterized and their main properties will be studied. In addition, perturbation properties will be also considered.

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Milos D. Cvetkovic, Enrico Boasso, Snezana C. Zivkovic-Zlatanovic. 2015-04-12. Generalized B-Fredholm Banach algebra elements. https://arxiv.org/abs/1504.02952

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