@article{Kong2022, 
author = {Liang Kong and Chao Li},
title = {Non-global nonlinear skew Lie triple derivations on factor von Neumann algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {13963-13976},
keywords = {non-global nonlinear skew Lie triple derivation, ∗-derivation, factor von Neumann algebra},
url = {https://www.sciopen.com/article/10.3934/math.2022771},
doi = {10.3934/math.2022771},
abstract = {Let        A   be a factor von Neumann algebra acting on a complex Hilbert space    H with dim        A    >  1. We prove that if a map    δ  :      A    →      A   satisfies    δ  (  [  [  A  ,  B      ]          ∗        ,  C      ]          ∗        )  =  [  [  δ  (  A  )  ,  B      ]          ∗        ,  C      ]          ∗        +  [  [  A  ,  δ  (  B  )      ]          ∗        ,  C      ]          ∗        +  [  [  A  ,  B      ]          ∗        ,  δ  (  C  )      ]          ∗       for any    A  ,  B  ,  C  ∈      A   with        A          ∗            B          ∗        C  =  0, then    δ is an additive    ∗-derivation.}
}