Nonlinear maps preserving mixed product on factors

DOI10.1007/s41980-020-00444-zOpenAlexW3080744464MaRDI QIDQ2245918

Yuan-Yuan Zhao, Quan Yuan Chen, Chang Jing Li

Publication date: 15 November 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00444-z

zbMATH Keywords

von Neumann algebrafactorLie productpreserverJordan \(\ast\)-product

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

Nonlinear mappings preserving Jordan-type \(\eta\)-\(\ast\)-products ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ Reverse ∗-Jordan type maps on Jordan ∗-algebras ⋮ Unnamed Item ⋮ Nonlinear maps preserving bi-skew Jordan triple product on factor von Neumann algebras ⋮ Nonlinear maps preserving a family of sum of triple products on \(\ast\)-algebras ⋮ Mappings preserving sum of products a◊b + b*a (resp., a*◊b + ab*) on ∗-algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• 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 maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Maps preserving products \(XY - YX^*\) on von Neumann algebras
• Nonlinear maps preserving Lie products on factor von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Lie isomorphisms of nest 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
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• Nonlinear maps preserving Jordan \(\ast\)-products
• Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras
• Operator algebras generated by projections
• Lie homomorphisms of operator algebras
• Commutativity preserving mappings on semiprime rings
• 2-local Lie isomorphisms of nest algebras
• Nonlinear ∗-Jordan triple derivations on von Neumann algebras
• When are Multiplicative Mappings Additive?
• Lie Isomorphisms of Factors

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