Nonlinear Skew Lie Triple Derivations between Factors

被引：66

作者：

Li, Chang Jing ^{[1
]}

Zhao, Fang Fang ^{[2
]}

Chen, Quan Yuan ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

[3] Jingdezhen Ceram Inst, Coll Informat, Jingdezhen 333403, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Skew Lie triple derivation; derivation; factor; VON-NEUMANN-ALGEBRAS; JORDAN ASTERISK-DERIVATIONS; QUADRATIC FUNCTIONALS; PRODUCT; B(H);

D O I：

10.1007/s10114-016-5690-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a factor. For A, B is an element of A, define by [A, B](*) = AB-BA* the skew Lie product of A and B. In this article, it is proved that a map Phi : A -> A satisfies Phi([[A, B](*), C](*)) = [[Phi( A), B](*), C](*) + [[A, Phi( B)](*), C](*) + [[A, B](*), Phi(C)](*) for all A, B, C is an element of A if and only if F is an additive (*)-derivation.

引用

页码：821 / 830

页数：10

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