Additivity of Jordan maps on standard operator algebras

被引：64

作者：

Lu, FY ^{[1
]}

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 357卷

关键词：

Jordan maps; standard operator algebras; additivity; standard arguments;

D O I：

10.1016/S0024-3795(02)00367-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that a bijective map phi form A, a standard operator algebra on a Banach space of dimension > 1, onto a ring that satisfies phi(AB + BA) = phi(A)phi(B) + phi(B)phi(A), (A, B is not an element of A) is additive. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：123 / 131

页数：9

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