Nonlinear maps preserving Jordan *-products

被引：75

作者：

Dai, Liqing ^{[1
]}

Lu, Fangyan ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Maps preserving eta-*-product; von Neumann algebras; Isomorphism; QUADRATIC FUNCTIONALS; ALGEBRAS; B(H);

D O I：

10.1016/j.jmaa.2013.07.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let eta be a non-zero scalar. In this paper, we investigate a bijective map phi between two von Neumann algebras, one of which has no central abelian projections, satisfying phi(AB + eta BA*) = phi(A)phi(B) + eta phi(B)phi(A)* for all A, B in the domain. It is showed that phi is a linear *-isomorphism if eta is not real and phi is a sum of a linear *-isomorphism and a conjugate linear *-isomorphism if eta is real. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：180 / 188

页数：9

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