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
收藏
页码：1922 / 1938
页数：17
相关论文
共 50 条
12345