Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras

DOI10.1216/RMJ.2023.53.647OpenAlexW4381514701MaRDI QIDQ6170603

Jingyi Zhang, Chang Jing Li

Publication date: 10 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-2/NONLINEAR-BI-SKEW-LIE-TYPE-DERIVATIONS-ON-ALGEBRAS/10.1216/rmj.2023.53.647.full

zbMATH Keywords

additivity\(\ast\)-derivationsbi-skew Lie-type derivations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Derivations, actions of Lie algebras (16W25)

Cites Work

• Unnamed Item
• Strong skew commutativity preserving maps on rings with involution.
• Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
• Nonlinear skew Lie triple derivations between factors
• 2-local \(*\)-Lie isomorphisms of operator algebras
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Nonlinear Lie derivations of triangular algebras.
• Lie derivable maps on \(B(X)\)
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Nonlinear maps preserving the Jordan triple *-product on factor von Neumann algebras
• Nonlinear maps preserving the Jordan triple \(\ast\)-product between factors
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras
• 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 \(\ast\)-Jordan triple derivation on prime \(\ast\)-algebras
• Nonlinear maps preserving mixed product on factors
• Nonlinear maps preserving Jordan \(\ast\)-products
• Lie derivations of reflexive algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Lie derivations of certain CSL algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Non-linear *-Jordan derivations on von Neumann algebras
• Maps preserving -Lie product on factor von Neumann algebras
• Nonlinear skew Jordan derivable maps on factor von Neumann algebras
• 2-local Lie isomorphisms of nest algebras
• Non-linear new product A*B-B*A derivations on *-algebras
• Lie derivations of $\mathcal J$-subspace lattice algebras
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Triple Derivations of Von Neumann Algebras
• Lie Derivations of Triangular Algebras
• Nonlinear ∗-Jordan triple derivations on von Neumann algebras
• Characterizing Lien-derivations for reflexive algebras
• Nonlinear *-Lie derivations of standard operator algebras
• Lie triple derivations on nest algebras
• Lie triple and Jordan derivable mappings on nest algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras

This page was built for publication: Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras