Nonlinear maps preserving the Jordan triple *-product on factor von Neumann algebras

DOI10.1007/S11401-018-0086-4OpenAlexW2896212035MaRDI QIDQ1624088

Ting Wang, Quan Yuan Chen, Chang Jing Li

Publication date: 15 November 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0086-4

zbMATH Keywords

von Neumann algebrasisomorphismJordan triple *-product

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48)

Related Items (17)

A note on nonlinear mixed Jordan triple derivation on *-algebras ⋮ Mixed *-Jordan-type derivations on *-algebras ⋮ Nonlinear \(\xi\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ The second nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras ⋮ 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 ⋮ Nonlinear maps preserving the mixed product \(A \bullet B \circ C\) on von Neumann algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Unnamed Item ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Nonlinear maps preserving mixed product on factors ⋮ Unnamed Item ⋮ Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras

Cites Work

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• Maps preserving products \(XY - YX^*\) 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
• Nonlinear maps preserving Jordan \(\ast\)-products
• Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products
• On Jordan *-derivations and an application
• Quadratic and Quasi-Quadratic Functionals
• Non-linear ξ-Jordan *-derivations on von Neumann algebras

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