Non-global nonlinear skew Lie triple derivations on factor von Neumann algebras

Let $ \mathcal{A} $ be a factor von Neumann algebra acting on a complex Hilbert space $ H $ with dim $ \mathcal{A} > 1 $. We prove that if a map $ \delta: \mathcal{A}\rightarrow \mathcal{A} $ satisfies $ \delta([[A, B]_{\ast}, C]_{\ast}) = [[\delta(A), B]_{\ast}, C]_{\ast}+[[A, \delta(B)]_{\a...

Full description

Bibliographic Details
Main Authors: Liang Kong, Chao Li
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022771?viewType=HTML