*-Lie Derivable Mappings on Von Neumann Algebras

被引：0
作者：
Li, Changjing [1 ]
Chen, Quanyuan [2 ]
Wang, Ting [3 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Jingdezhen Ceram Inst, Coll Informat, Jingdezhen 333403, Jiangxi, Peoples R China
[3] Nanyang Normal Univ, Dept Math & Stat, Nanyang 47306, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2016年 / 4卷 / 01期
基金：
中国国家自然科学基金;
关键词：
*-Lie derivable mapping; Derivation; Von Neumann algebra;
D O I：
10.1007/s40304-015-0077-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that every *-Lie derivable mapping on a von Neumann algebra with no central abelian projections can be expressed as the sum of an additive *-derivation and a mapping with image in the center vanishing at commutators.
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页码：81 / 92
页数：12
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