Multiplicative bi-skew Jordan triple derivations on prime \(\ast \)-algebra

DOI10.1515/GMJ-2023-2005MaRDI QIDQ6111383

Abdul Nadim Khan, Husain Alhazmi

Publication date: 6 July 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

prime \(\ast \)-algebra\( \ast \)-derivationbi-skew Jordan triple derivation

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Linear operators in ({}^*)-algebras (47C10)

Cites Work

• Unnamed Item
• Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• When is a multiplicative derivation additive?
• Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras
• Nonlinear bi-skew Lie derivations on factor von Neumann algebras
• Multiplicative biskew Lie triple derivations on factor von Neumann algebras
• Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products
• Non-linear *-Jordan derivations on von Neumann algebras
• Nonlinear *-Lie derivations of standard operator algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras

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