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Research Article | Open Access

Semi-B-Browder elements and Drazin invertible elements in Banach algebras

School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China
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Abstract

This paper studies left (right) Drazin invertible elements in a semisimple Banach algebra and provides the characterizations of the left (right) Drazin invertible elements. In addition, the paper proves that the left Drazin spectrum is compact. Finally, it is shown that being Drazin invertible is equivalent to being semi-B-Browder.

Keywords

semi-B-Browder elementssemi-B-Fredholm elementsleft Drazin invertiblespectrumDrazin invertible

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Electronic Research Archive
Volume 34 Issue 2,
February 2026
Pages 910-921
DOI: 10.3934/era.2026042

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Cite this article:
Kong Y. Semi-B-Browder elements and Drazin invertible elements in Banach algebras. Electronic Research Archive, 2026, 34(2): 910-921. https://doi.org/10.3934/era.2026042

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Received: 11 November 2025
Revised: 13 January 2026
Accepted: 20 January 2026
Published: 28 January 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)