因子von Neumann代数上非线性*-Lie导子的刻画  

Characterization of Nonlinear *-Lie Derivations on Factor von Neumann Algebras

作　　者：庞永锋[1] 张丹莉 马栋 PANG Yongfeng;ZHANG Danli;MA Dong(School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,China)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《吉林大学学报（理学版）》2020年第3期539-544,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11401757);陕西省自然科学基金(批准号:2019JM252).

摘　　要：设M是Hilbert空间H上维数大于1的因子von Neumann代数,给出M上非线性*-Lie三重导子的定义,并用代数Pierce分解方法证明:如果Φ:M→M是一个非线性*-Lie三重导子,则Φ是非线性*-Lie导子.Let M be a factor von Neumann algebra on a Hilbert space H in which the dimension of M is larger than one. We give the definition of nonlinear *-Lie triple derivation on M. By the method of Pierce decomposition, it is proved that if Φ: M→M is a nonlinear *-Lie triple derivation, Φ is a nonlinear *-Lie derivation.

关 键 词：von NEUMANN代数 *-导子 Lie三重导子 

分 类 号：O177.1[理学—数学]