Non-linear new product A*B-B*A derivations on *-algebras

DOI10.22199/issn.0717-6279-2020-02-0029OpenAlexW3023301077MaRDI QIDQ3388061

Ali Taghavi, Mehran Razeghi

Publication date: 8 January 2021

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-02-0029

zbMATH Keywords

additive mapprime \(\ast \)-algebranew product derivation

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) General theory of topological algebras with involution (46K05)

Related Items

Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras, Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras, Unnamed Item, Unnamed Item

Cites Work

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• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Derivations of nest algebras
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• Ring derivations on standard operator algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Derivations of \(W^ *\)-algebras
• Lie homomorphisms of operator algebras
• Non-linear *-Jordan derivations on von Neumann algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Nonlinear skew Jordan derivable maps on factor von Neumann algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras