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

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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 elements / semi-B-Fredholm elements / left Drazin invertible / spectrum / Drazin invertible

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