New additive results for the generalized Drazin inverse in a Banach algebra-Reference-Cited by-同舟云学术

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New additive results for the generalized Drazin inverse in a Banach algebra

Published:2016 Issue:8 Volume:30 Page:2289-2294
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Liu Xiaoji¹,Qin Xiaolan²,Benítez Julio³

Affiliation:

1. University for Nationalities, Faculty of Science, Guangxi, Nanning, P.R. China

2. Guangxi University for Nationalities, Faculty of Science, Nanning, P.R. China

3. Universidad Politécnica de Valencia, Instituto de Matemática Multidisciplinar, Valencia, Spain

Abstract

In this paper, we investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a + b, under new conditions on a,b ? A.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The G-Drazin Inverse of an Operator Matrix over Banach Spaces;KYUNGPOOK MATH J;2024

2. Group invertibility of the sum in rings and its applications;Georgian Mathematical Journal;2024-03-26

3. The Drazin inverse for perturbed block-operator matrices;FILOMAT;2024

4. Block representations for the g-Drazin inverse in Banach algebras;Miskolc Mathematical Notes;2023

5. Generalized Drazin invertibility of the sum of two elements in a Banach algebra;Filomat;2022

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