Linear maps on von Neumann algebras acting as Lie type derivation via local actions

DOI10.3934/math.2021490zbMath1491.47025OpenAlexW3167903454MaRDI QIDQ2130871

Aisha Jabeen, Abdul Nadim Khan, Husain Alhazmi, Mohd Arif Raza

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021490

zbMATH Keywords

von Neumann algebraderivationLie derivation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

• Unnamed Item
• Characterizations of Lie derivations of triangular algebras.
• Characterizations of Lie derivations of \(B(X)\)
• Lie-type derivations of finitary incidence algebras
• Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action
• Lie \(n\)-derivations of unital algebras with idempotents.
• Characterizations of Lie derivations of factor von Neumann algebras
• Characterizing Lien-derivations for reflexive algebras
• Lie n-derivations of incidence algebras
• LIE TRIPLE DERIVATIONS ON FACTOR VON NEUMANN ALGEBRAS

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