Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (3): 539-544.
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PANG Yongfeng, ZHANG Danli, MA Dong
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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
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PANG Yongfeng, ZHANG Danli, MA Dong. Characterization of Nonlinear *-Lie Derivations on Factor von Neumann Algebras[J].Journal of Jilin University Science Edition, 2020, 58(3): 539-544.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2020/V58/I3/539
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