Local Lie $n$-derivations on certain algebras
Operator Algebras
2022-05-03 v3
Abstract
We prove that each local Lie -derivation is a Lie -derivation under mild assumptions on the unital algebras with a nontrivial idempotent. As applications, we obtain descriptions of local Lie -derivations on generalized matrix algebras, triangular algebras, nest algebras, von Neumann algebras, and the algebras of locally measurable operators affiliated with a von Neumann algebra.
Cite
@article{arxiv.2111.13830,
title = {Local Lie $n$-derivations on certain algebras},
author = {Shan Li and Jiankui Li},
journal= {arXiv preprint arXiv:2111.13830},
year = {2022}
}
Comments
Theorem 2.3 is wrong