@article{An2022, 
author = {Guangyu An and Xueli Zhang and Jun He and Wenhua Qian},
title = {Characterizations of local Lie derivations on von Neumann algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {7519-7527},
keywords = {Lie derivation, local Lie derivation, von Neumann algebra, locally measurable operator},
url = {https://www.sciopen.com/article/10.3934/math.2022422},
doi = {10.3934/math.2022422},
abstract = {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    L  S  (      M    ) is a Lie derivation.}
}