<i>B</i>-Fredholm Spectra of Drazin Invertible Operators and Applications

Abstract

In this article, we consider Drazin invertible operators for study of the relationship between their B-Fredholm spectra and the transfer between some of the spectral properties defined through B-Fredholm spectra of this class of operators. Among other results, we investigate the transfer of generalized a-Weyl’s theorem from T to their Drazin inverse S, if it exists.

Keywords

• <i>B</i>-Fredholm spectra
• Drazin invertible operator
• Drazin inverse
• generalized <i>a</i>-Weyl’s theorem