The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras

Research Article

The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras

Published in: Quaestiones Mathematicae
Volume 47 , issue 7 , 2024 , pages: 1403–1412
DOI: 10.2989/16073606.2024.2323708
Author(s): Yuan Yang Shaanxi Normal University, People’s Republic of China , Jianhua Zhang Shaanxi Normal University, People’s Republic of China
Keywords: Primary: 16W25 , Secondary: 46L10 , The second mixed bi-skew Lie triple products , additive *-derivation , factor von Neumann algebra
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Abstract

Let be a factor von Neumann algebra with dim . In this paper, it is shown that if a map satisfies for all , then ϕ is an additive ∗-derivation, where .
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