Additive Jordan derivations of reflexive algebras
type: Item
instance of: scholarly article
title: Additive Jordan derivations of reflexive algebras
zbMATH Open document ID: 1117.46036
author: Juan Li
author: Fangyan Lu
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-26T00:00:00Z
review text: Let \(\mathcal{L}\) be a subspace lattice on a Banach space \(X\) such that either \((0)_{+} \neq (0)\) or \(X_{-}\neq X\), and let \(A\) be a standard subalgebra of \(\text{Alg}\mathcal L\). It is shown that every additive Jordan derivation \(\delta:A\to B(X)\) is an additive derivation. If \(\mathcal L = \mathcal N\) is a nest, then the assumption that \((0)_+\neq (0)\) or \(X_-\neq X\) can be omitted.
reviewed by: Matej Brešar
Mathematics Subject Classification ID: 46K50
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16W25
zbMATH DE Number: 5129636
zbMATH Keywords: Jordan derivation
zbMATH Keywords: reflexive algebra
zbMATH Keywords: nest algebra
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.06.019
OpenAlex ID: W2007676942
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DOI: 10.1016/J.JMAA.2006.06.019
description: scientific article; zbMATH DE number 5129636