Linear maps preserving idempotency of products or triple Jordan products of operators

被引：29

作者：

Wang, Meili ^{[1
]}

Fang, Li ^{[1
,2
]}

Ji, Guoxing ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 01期

关键词：

linear maps; idempotent; product; triple Jordan product;

D O I：

10.1016/j.laa.2008.02.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B(X) be the algebra of all bounded linear operators on a complex Banach space X. We give the concrete forms of linear surjective maps on B(V) which preserve the nonzero idempotency of either products of two operators or triple Jordan products of two operators. (C) 2008 Elsevier Inc. All tights reserved.

引用

页码：181 / 189

页数：9

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