Nonlinear generalized Lie \(n\)-derivations on von Neumann algebras

DOI10.1007/S41980-018-0149-ZzbMath1486.47067OpenAlexW2887457088WikidataQ129481520 ScholiaQ129481520MaRDI QIDQ2414193

Xiaoxue Feng, Xiao Fei Qi

Publication date: 10 May 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0149-z

zbMATH Keywords

von Neumann algebrasLie derivationsLie \(n\)-derivationsgeneralized Lie \(n\)-derivations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Strong bi-skew commutativity preserving maps on von Neumann algebras ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras

Cites Work

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• Multiplicative Lie \(n\)-derivations of triangular rings.
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Multiplicative Lie \(n\)-derivations of generalized matrix algebras.
• Lie derivations of reflexive algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Lie homomorphisms of operator algebras
• Nonlinear Lie-type derivations of von Neumann algebras and related topics
• Nonlinear generalized Lie derivations on triangular algebras
• Generalized Lie derivations of unital algebras with idempotents
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Derivations of Triangular Algebras
• Nonlinear generalized Lie n-derivations on triangular algebras
• Nonlinear generalized Lie triple derivation on triangular algebras

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