Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators-Reference-Cited by-同舟云学术

Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators

Published:2023 Issue:1 Volume:37 Page:21-36
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ounadjela Djalal¹,Messirdi Bekkai²,Messirdi Sofiane³

Affiliation:

1. Department of Mathematics, Faculty of Exact and Applied Sciences, University of Oran, Ahmed BenBella, Algeria. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO)

2. High School of Electrical and Energetic Engineering-Oran, Algeria. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO)

3. Department of Mathematics and Informatics, Faculty of Sciences, University of Mostaganem, Algeria. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO)

Abstract

Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the coefficients of Laurent series, new representation results for left and right generalized Drazin inverses and the associated spectral projections. Fundamental characterizations of left and right generalized Drazin invertible operators are also obtained, using essentially the range, the quasi-nilpotent part and the analytic core.

Publisher

National Library of Serbia

Subject

General Mathematics

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