Jordan all-derivable points in the algebra of all upper triangular matrices

被引：21

作者：

Zhao, Sha ^{[1
]}

Zhu, Jun ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 11-12期

基金：

中国国家自然科学基金;

关键词：

Jordan all-derivable point; Nest algebra; Jordan derivable linear mapping at G; OPERATOR-ALGEBRAS; NEST-ALGEBRAS; LOCAL DERIVATIONS;

D O I：

10.1016/j.laa.2010.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T M-n be the algebra of all n x n upper triangular matrices. We say that phi is an element of L(TMn) is a Jordan derivable mapping at G if phi (ST + TS) = phi(S)T + S phi(T) + phi(T)S + T phi(S) for any S, T is an element of TMn, with ST = G. An element G E TNI is called a Jordan all-derivable point of TMn if every Jordan derivable linear mapping phi at G is a derivation. In this paper, we show that every element in TMn is a Jordan all-derivable point. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1922 / 1938

页数：17

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