Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
type: Item
instance of: scholarly article
title: Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
zbMATH Open document ID: 1276.47047
author: Fangyan Lu
author: Xiaochun Fang
author: Changjing Li
published in: Linear Algebra and its Applications
publication date: 2013-02-22T00:00:00Z
review text: Let \(\mathcal A\) and \(\mathcal B\) be two factor von Neumann algebras and let \(\phi: \mathcal A \to \mathcal B\) be a bijective mapping. The authors of the present paper show that \(\phi\) satisfies the condition \[ \phi (AB+BA^*)= \phi (A) \phi (B) + \phi (B) \phi(A)^* \] for all \(A,B \in \mathcal A\) if and only if \(\phi\) is a *-ring isomorphism.
reviewed by: Nadia Boudi
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 6138417
zbMATH Keywords: new product
zbMATH Keywords: isomorphism
zbMATH Keywords: von Neumann algebras
MaRDI profile type: Publication
full work available at URL: j.laa.2012.10.015
OpenAlex ID: W2317667104
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DOI: 10.1016/J.LAA.2012.10.015
description: scientific article; zbMATH DE number 6138417