The closure of the range of an elementary operator
type: Item
instance of: scholarly article
title: The closure of the range of an elementary operator
zbMATH Open document ID: 1087.47040
published in: Linear Algebra and its Applications
publication date: 2004-11-26T00:00:00Z
review text: For a Hilbert space \(H\), consider the operator \(\phi :B(H)\to B(H)\) defined by \(\phi (X)=AXB+CXD\), where \(A\), \(B\), \(C\), and \(D\) are some operators on \(H\). Certain conditions are given which are sufficient for \(B(H)\) to be the topological direct sum of \(\phi^{-1}(0)\) and the range of \(\phi\).
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 2119140
zbMATH Keywords: elementary operator
zbMATH Keywords: Hilbert space
zbMATH Keywords: orthogonality
zbMATH Keywords: isolated point of the spectrum
zbMATH Keywords: hyponormal operator
zbMATH Keywords: range closure
author: B. P. Duggal
reviewed by: S. V. Kislyakov
MaRDI profile type: Publication
full work available at URL: j.laa.2004.06.018
OpenAlex ID: W1996836070
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DOI: 10.1016/J.LAA.2004.06.018
description: scientific article; zbMATH DE number 2119140