Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (3): 539-544.

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

PANG Yongfeng, ZHANG Danli, MA Dong   

  1. School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, China
  • Received:2019-09-11 Online:2020-05-26 Published:2020-05-20
  • Contact: PANG Yongfeng E-mail:pangyongfengyw@xauat.edu.cn

Abstract: 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.

Key words: von Neumann algebra, *-derivation, Lie triple derivation

CLC Number: 

  • O177.1