Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices

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. As an application we give some new representations for the generalized Drazin inverse of an...

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Detalles Bibliográficos
Autores principales: Liu, Xiaoji, Qin, Xiaolan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4333281/
https://www.ncbi.nlm.nih.gov/pubmed/25729767
http://dx.doi.org/10.1155/2015/156934
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author Liu, Xiaoji
Qin, Xiaolan
author_facet Liu, Xiaoji
Qin, Xiaolan
author_sort Liu, Xiaoji
collection PubMed
description 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. As an application we give some new representations for the generalized Drazin inverse of an operator matrix.
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spelling pubmed-43332812015-03-01 Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices Liu, Xiaoji Qin, Xiaolan ScientificWorldJournal Research Article 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. As an application we give some new representations for the generalized Drazin inverse of an operator matrix. Hindawi Publishing Corporation 2015 2015-02-01 /pmc/articles/PMC4333281/ /pubmed/25729767 http://dx.doi.org/10.1155/2015/156934 Text en Copyright © 2015 X. Liu and X. Qin. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Liu, Xiaoji
Qin, Xiaolan
Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title_full Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title_fullStr Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title_full_unstemmed Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title_short Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
title_sort representations for the generalized drazin inverse of the sum in a banach algebra and its application for some operator matrices
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4333281/
https://www.ncbi.nlm.nih.gov/pubmed/25729767
http://dx.doi.org/10.1155/2015/156934
work_keys_str_mv AT liuxiaoji representationsforthegeneralizeddrazininverseofthesuminabanachalgebraanditsapplicationforsomeoperatormatrices
AT qinxiaolan representationsforthegeneralizeddrazininverseofthesuminabanachalgebraanditsapplicationforsomeoperatormatrices

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