Jordan maps of nest algebras
type: Item
instance of: scholarly article
title: Jordan maps of nest algebras
zbMATH Open document ID: 1061.47062
author: Zhengchu Ling
author: Fangyan Lu
published in: Linear Algebra and its Applications
publication date: 2004-08-04T00:00:00Z
review text: Let \(\mathcal A\) be a standard subalgebra of a nest algebra on a Hilbert and \(r\) be a fixed nonzero rational number. In this paper, the authors show that a bijective map \(\Phi\) from \(\mathcal A\) onto an algebra that satisfies \[ \Phi(r(AB+BA))= r(\Phi(A)\Phi(B)+ \Phi(B)\Phi(A))\quad \text{for all }A,B\in\mathcal A \] is additive.
Mathematics Subject Classification ID: 47L35
Mathematics Subject Classification ID: 47L20
Mathematics Subject Classification ID: 46H10
zbMATH DE Number: 2081253
zbMATH Keywords: Jordan maps
zbMATH Keywords: standard subalgebras
zbMATH Keywords: additivity
zbMATH Keywords: standard arguments
reviewed by: Jianlian Cui
MaRDI profile type: Publication
full work available at URL: j.laa.2004.02.031
OpenAlex ID: W2015820826
cites work: Q3994569
cites work: Operators of Finite Rank in Nest Algebras
cites work: Additivity of Jordan | ast-Maps on AW ∗ -Algebras
cites work: Additivity of Jordan *-maps between operator algebras
cites work: Multiplicative mappings of operator algebras
cites work: Additivity of Jordan maps on standard operator algebras
cites work: Jordan Maps on Associative Algebras
cites work: When are Multiplicative Mappings Additive?
cites work: Q4530604
DOI: 10.1016/J.LAA.2004.02.031
description: scientific article; zbMATH DE number 2081253