scientific article; zbMATH DE number 7260996

MaRDI QIDQ4970462

Berna Arslan, Hülya İnceboz

Publication date: 14 October 2020

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_May2020_658_to_669.pdf

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zbMATH Keywords

von Neumann algebra\( \xi \)-Lie \(\ast \)-derivation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Cites Work

• \(*\)-Lie derivable mappings on von Neumann algebras
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Lie homomorphisms of operator algebras
• Lie derivations of von Neumann algebras
• The automatic additivity of $\xi-$Lie derivations on von Neumann algebras
• Centralizing Mappings on von Neumann Algebras
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Symmetric amenability and the nonexistence of Lie and Jordan derivations

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