Equivalent characterization of ∗-derivations on von Neumann algebras

DOI10.1080/03081087.2018.1425355zbMath1406.16039OpenAlexW2792893315MaRDI QIDQ4622868

Run Ling An, Feiyan Fu

Publication date: 18 February 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1425355

zbMATH Keywords

von Neumann algebrasskew Lie product\(\ast\)-derivations

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Cites Work

• Nonlinear skew Lie triple derivations between factors
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Nonlinear maps preserving Jordan \(\ast\)-products
• Derivations of \(W^ *\)-algebras
• Lie homomorphisms of operator algebras
• On Jordan *-derivations and an application
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