Local spectral theory for Drazin invertible operators
type: Item
instance of: scholarly article
title: Local spectral theory for Drazin invertible operators
zbMATH Open document ID: 1339.47006
author: Pietro Aiena
author: Salvatore Triolo
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-18T00:00:00Z
review text: Let \(X\) be an infinite dimensional complex Banach space and \(L(X)\) denotes the Banach algebra of all bounded linear operators on \(X\). In the present paper, the authors prove that the spectral properties SVEP, property (C), property (Q) and property \((\beta)\) are transferred from a Drazin invertible operator \(R\in L(X)\) to its Drazin inverse \(S\) and, reciprocally, also the spectral properties property \((\delta)\) and decomposability are transferred from a Drazin invertible operator \(R\in L(X)\) to its Drazin inverse \(S\). Among other results, they show that the properties polaroid and a-polaroid are transferred from \(R\in L(X)\) to its Drazin inverse \(S\).
reviewed by: F. Lombarkia
Mathematics Subject Classification ID: 47A11
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 6511565
zbMATH Keywords: Drazin invertible operators
zbMATH Keywords: Local spectral subspaces
zbMATH Keywords: SVEP
zbMATH Keywords: Dunford property (C)
zbMATH Keywords: Bishop's property \((\beta)\)
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.10.042
OpenAlex ID: W1760286167
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DOI: 10.1016/J.JMAA.2015.10.042
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description: scientific article; zbMATH DE number 6511565