Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras

被引：21

作者：

Yang, Zhujun ^{[1
]}

Zhang, Jianhua ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 02期

关键词：

Preserver; mixed Lie triple product; von Neumann algebra; MAPPINGS;

D O I：

10.1080/03081087.2018.1506732

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let and be factor von Neumann algebras with and , and let be a bijective map preserving the second mixed Lie triple products . Then there exists such that , where is a linear -isomorphism or a conjugate linear -isomorphism. Also, we give the structure of this map when .

引用

页码：377 / 390

页数：14

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