Generalized B-Fredholm Banach algebra elements

Milos D. Cvetkovic; Enrico Boasso; Snezana C. Zivkovic-Zlatanovic

Generalized B-Fredholm Banach algebra elements

Functional Analysis 2015-04-14 v1

Authors: Milos D. Cvetkovic , Enrico Boasso , Snezana C. Zivkovic-Zlatanovic

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.

Keywords

banach algebras

Cite

@article{arxiv.1504.02952,
  title  = {Generalized B-Fredholm Banach algebra elements},
  author = {Milos D. Cvetkovic and Enrico Boasso and Snezana C. Zivkovic-Zlatanovic},
  journal= {arXiv preprint arXiv:1504.02952},
  year   = {2015}
}

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17 pages, original research article

Generalized B-Fredholm Banach algebra elements

Abstract

Keywords

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