This paper is an attempt to give an axiomatic approach to the investigation of various kinds
of generalizations of Drazin invertibility in Banach algebras. We shall say that an element a …

After a brief introduction into classical Fredholm theory we consider Riesz operators,
polynomially Riesz operators, generalized Drazin–Riesz invertible operators, as a …

In this paper, we separately obtain new explicit expressions for the generalized Drazin
inverse of anti-triangular block operator matrices under certain restrictions. As applications …

On the Regularity of the Class of Generalized Drazin-Riesz Invertible Operators Page 1
Filomat 36:14 (2022), 4831–4838 https://doi.org/10.2298/FIL2214831A Published by Faculty …

This paper describes the common properties of elements a and b satisfying abn= bn+ 1 and
ban= an+ 1 in the settings of Banach algebras, rings and operator algebras from the …

This paper is a continuation of our paper [Med. J. Math 19, Article number: 31 (2022)] in
which we extended the notion of generalized Drazin-Riesz invertible operators to closed …

Let a, b be elements in a complex Banach algebra with unity e. In this note, formulas are
given for expressing the spectral idempotent of e-ba associated with σ:=∪ k= 1 m σ i in …

In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations
are introduced and studied. For these classes of linear relations we give several …

We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear
operators in Živković-Zlatanović and Cvetković (Linear Multilinear Algebra 65 (6): 1171 …

This paper aims to provide a thorough characterization of the family of all Cantor-Bendixson
derivatives of the spectrum, Browder spectrum, and the Drazin spectrum of bounded linear …