The structure of 2-local Lie derivations on von Neumann algebras

DOI10.1215/20088752-2018-0024OpenAlexW2923758133WikidataQ128188026 ScholiaQ128188026MaRDI QIDQ2314389

Xiao Chun Fang, Bing Yang

Publication date: 22 July 2019

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1552960864

zbMATH Keywords

von Neumann algebrasLie derivations2-local Lie derivations

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Unnamed Item
• 2-local derivations on von Neumann algebras
• On a generalized Šemrl's theorem for weak 2-local derivations on \(B(H)\)
• Local Lie derivations on certain operator algebras
• Infinite Lie rings
• Characterization of 2-local derivations and local Lie derivations on some algebras
• Local derivations
• Lie homomorphisms of operator algebras
• Lie derivations of von Neumann algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Local derivations on $C^*$-algebras are derivations
• Weak-2-local derivations on finite von Neumann algebras
• Weak-2-local derivations on Mn
• Characterization of additive maps $\xi$-Lie derivable at zero on von Neumann Algebras
• 2-Local Lie derivations on semi-finite factor von Neumann algebras
• Weak-local derivations and homomorphisms on C*-algebras