On Drazin inverse of operator matrices
type: Item
instance of: scholarly article
title: On Drazin inverse of operator matrices
zbMATH Open document ID: 1207.47002
author: Aleksandar S. Cvetković
author: Gradimir V. Milovanović
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-01-12T00:00:00Z
review text: In [\textit{N.\,Castro-González, E.\,Dopazo} and \textit{M.\,F.\thinspace Martínez-Serrano}, ``On the Drazin inverse of the sum of two operators and its application to operator matrices'', J.~Math.\ Anal.\ Appl.\ 350, No.\,1, 207--215 (2009; Zbl 1157.47001)], a formula for the Drazin inverse of an operator on a Banach space has been presented assuming a condition on a product. In this paper, a new formula for the Drazin inverse of an operator is given by using a similar assumption.
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 5835303
zbMATH Keywords: Drazin inverse
zbMATH Keywords: generalized inverses
zbMATH Keywords: bounded operators
zbMATH Keywords: Banach spaces
reviewed by: Néstor Thome
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.08.080
OpenAlex ID: W2017335894
Wikidata QID: Q115058725
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DOI: 10.1016/J.JMAA.2010.08.080
description: scientific article; zbMATH DE number 5835303