Nonlinear maps preserving Jordan triple η-*-products

被引：36

作者：

Huo, Donghua ^{[1
,2
]}

Zheng, Baodong ^{[1
]}

Liu, Hongyu ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Mudanjiang Normal Coll, Dept Math, Mudanjiang 157012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 430卷 / 02期

关键词：

Maps preserving Jordan; triple eta-*-product; von Neumann algebras; Isomorphism; VON-NEUMANN-ALGEBRAS; OPERATOR-ALGEBRAS; ADDITIVITY;

D O I：

10.1016/j.jmaa.2015.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let eta not equal -1 be a non-zero complex number, and let phi be a not necessarily linear bijection between two von Neumann algebras, one of which has no central abelian projections, satisfying phi(I) = I and preserving the Jordan triple eta-*-product. It is showed that phi is a linear *-isomorphism if eta is not real and phi is the sum of a linear *-isomorphism and a conjugate linear *-isomorphism if eta is real. (C) 2015 Published by Elsevier Inc.

引用

页码：830 / 844

页数：15

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