2-local derivations of real \(\mathrm{AW}^{\ast}\)-algebras are derivation

DOI10.1007/s11117-021-00815-8zbMath1489.46065OpenAlexW3135850564MaRDI QIDQ2055387

Abdugafur A. Rakhimov, Rashidkhon A. Dadakhodjaev

Publication date: 1 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-021-00815-8

zbMATH Keywords

matrix algebraderivation2-local derivationinner derivation propertyreal \(\mathrm{AW}^{\ast}\)-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Subfactors and their classification (46L37) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

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• 2-local derivations and automorphisms on \(B(H)\)
• 2-local derivations on von Neumann algebras
• Derivations of AW\(^*\)-algebras are inner
• Projections in Banach algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Local automorphisms and derivations on $\mathbb {M}_n$
• 2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS
• Local and 2-local derivations on noncommutative Arens algebras

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