Jordan triple maps

被引：50

作者：

Lu, FY ^{[1
]}

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 375卷 / 1-3期

关键词：

triple maps; standard operator algebras; additivity;

D O I：

10.1016/j.laa.2003.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a standard operator algebra on a Banach space of dimension > 1 and B be an algebra over the field of rational numbers. Let k be a non-zero rational number. In this note, we prove that if a bijection phi : A --> B satisfies phi(kABA) = kphi(A)phi(B)phi(A) for all A, B epsilon A, or phi(k(ABC + CBA)) = k(phi(A)phi(B)phi(C) + phi(C)phi(B)phi(A)) for all A, B, C epsilon A, then phi is additive. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：311 / 317

页数：7

共 8 条

[1] JORDAN MAPPINGS OF SEMIPRIME RINGS [J].