Characterizations of local Lie derivations on von Neumann algebras

被引：1
作者：
An, Guangyu [1 ]
Zhang, Xueli [1 ]
He, Jun [2 ]
Qian, Wenhua [3 ]
机构：
[1] Shaanxi Univ Sci & Technol, Dept Math, Xian 710021, Peoples R China
[2] Anhui Polytech Univ, Dept Math, Wuhu 241000, Peoples R China
[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Lie derivation; local Lie derivation; von Neumann algebra; locally measurable operator; MEASURABLE OPERATORS; 2-LOCAL DERIVATIONS;
D O I：
10.3934/math.2022422
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that every local Lie derivation on von Neumann algebras is a Lie derivation; and we show that if M is a type I von Neumann algebra with an atomic lattice of projections, then every local Lie derivation on LS (M) is a Lie derivation.
引用
收藏
页码：7519 / 7527
页数：9
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