Nonlinear bi-skew Lie derivations on factor von Neumann algebras

DOI10.1007/s41980-020-00430-5zbMath1478.16041OpenAlexW3042100880MaRDI QIDQ2043573

Liang Kong, Jian Hua Zhang

Publication date: 2 August 2021

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

Full work available at URL: https://doi.org/10.1007/s41980-020-00430-5

zbMATH Keywords

\(\ast\)-derivationfactor von Neumann algebrabi-skew Lie derivation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Derivations, actions of Lie algebras (16W25)

Related Items (7)

Multiplicative biskew Lie triple derivations on factor von Neumann algebras ⋮ Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras ⋮ Strong bi-skew commutativity preserving maps on von Neumann algebras ⋮ Multiplicative bi-skew Jordan triple derivations on prime \(\ast \)-algebra ⋮ Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Unnamed Item

Cites Work

• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Nonlinear Lie derivations of triangular algebras.
• Lie derivable maps on \(B(X)\)
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Lie derivations of reflexive algebras
• Lie derivations of primitive rings
• Lie derivable mappings on prime rings
• Nonlinear Lie derivations on upper triangular matrices
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Derivations of Triangular Algebras
• Nonlinear *-Lie derivations of standard operator algebras
• Unnamed Item

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