On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)
type: Item
instance of: scholarly article
title: On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)
zbMATH Open document ID: 1163.47030
author: Jing Wu
published in: Linear Algebra and its Applications
publication date: 2009-02-10T00:00:00Z
review text: Let \(H\) be an infinite-dimensional Hilbert space. It is shown that a linear map \(\delta:B(H)\to B(H)\) satisfying \(\delta(A)A + A\delta(A) = A\delta(I)A\) whenever \(A^2 =0\) is a generalized derivation. Similarly, a linear map \(\delta:B(H)\to B(H)\) is a derivation provided that \(\delta(I) = \delta(A)A + A\delta(A)\) whenever \(A^2=I\) (here, \(H\) need not be infinite-dimensional).
reviewed by: Matej Brešar
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47B48
zbMATH DE Number: 5505603
zbMATH Keywords: Jordan all-derivable point
zbMATH Keywords: generalized Jordan all-derivable point
zbMATH Keywords: Jordan derivable map
zbMATH Keywords: generalized Jordan derivable map
zbMATH Keywords: derivation
zbMATH Keywords: generalized derivation
MaRDI profile type: Publication
full work available at URL: j.laa.2008.09.006
OpenAlex ID: W2083677498
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DOI: 10.1016/J.LAA.2008.09.006
description: scientific article; zbMATH DE number 5505603