Nonlinear maps preserving Lie products on triangular algebras

来源 :The 24th International Workshop on Matrices and Statistics(第 | 被引量 : 0次 | 上传用户：zhuangjun_1988

【摘要】

：

　　In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As

【作者】

：

Weiyan Yu

【机构】

：

HainanNormalUniversity,Haikou,China

【出处】

：

The 24th International Workshop on Matrices and Statistics(第

【发表日期】

：

2015年5期

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　　In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As an application, we described the form of bijections preserving Lie products on nest algebras and block upper triangular matrix algebras.

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Nonlinear maps preserving Lie products on triangular algebras

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