On Drazin invertible C*-operators and generalized C*-Weyl operators

TL;DR

This paper extends semi-Fredholm theory on Hilbert modules by generalizing classical results related to Weyl operators and Drazin invertible operators, providing new insights into their structure and properties.

Contribution

It introduces generalized semi-Fredholm theory for Hilbert modules, expanding classical concepts of Weyl and Drazin invertible operators to this broader setting.

Findings

Extended semi-Fredholm theory on Hilbert modules

Generalized Weyl operators in this context

New characterizations of Drazin invertibility

Abstract

In this paper, we obtain several extensions of semi-Fredholm theory on Hilbert modules by generalizing in this setting their classical counterparts regarding Weyl operators and Drazin invertible operators.