Jordan maps of nest algebras

被引：16

作者：

Ling, ZC ^{[1
]}

Lu, FY ^{[1
]}

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 387卷

关键词：

D O I：

10.1016/j.laa.2004.02.031

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 from A, a standard subalgebra of a nest algebra on a Hilbert space, onto an algebra that satisfies phi(r(AB + BA)) = r(phi(A)phi(B) + phi(B)phi(A)) (A, B is an element of A), where r is a fixed nonzero rational number, is additive. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：361 / 368

页数：8

共 9 条

[1]

Davidson K.R., 1988, PITMAN RES NOTES MAT, V191

[2]

ERDOS J. A., 1968, J. London Math. Soc., V43, P391

[3] ADDITIVITY OF JORDAN STAR-MAPS BETWEEN OPERATOR-ALGEBRAS [J].