Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
From MaRDI portal
Publication:306972
DOI10.1215/20088752-3624940zbMath1351.47028OpenAlexW2511243136MaRDI QIDQ306972
Fangyan Lu, Ting Wang, Chang Jing Li
Publication date: 1 September 2016
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.afa/1471876886
General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (33)
Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras ⋮ 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 ⋮ Nonlinear \(\ast\)-Jordan-type derivations on alternative \(\ast\)-algebras ⋮ The second nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras ⋮ Nonlinear mappings preserving Jordan-type \(\eta\)-\(\ast\)-products ⋮ Multiplicative λ-∗-Jordan triple higher derivations on standard operator algebras ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ The second nonlinear mixed Lie triple derivations on finite von Neumann algebras ⋮ Unnamed Item ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ Maps preserving the bi-skew Jordan product on factor von Neumann algebras ⋮ Reverse ∗-Jordan type maps on Jordan ∗-algebras ⋮ Unnamed Item ⋮ Nonlinear maps preserving bi-skew Jordan triple product on factor von Neumann algebras ⋮ Multiplicative bi-skew Jordan triple derivations on prime \(\ast \)-algebra ⋮ Nonlinear maps preserving the mixed product \(A \bullet B \circ C\) on von Neumann algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Bijections on the Unit Ball of $B(H)$ Preserving $^{\ast}$-Jordan Triple Product ⋮ On the Additivity of Maps Preserving Triple Jordan Product A ∗B + λB ∗A on ∗-Algebras ⋮ Multiplicative Lie-type derivations on alternative rings ⋮ Unnamed Item ⋮ Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras ⋮ Maps preserving strong products ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Nonlinear maps preserving mixed product on factors ⋮ Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras ⋮ Maps preserving triple product A∗B + BA∗ on ∗-algebras ⋮ Generalized Lie-type derivations of alternative algebras
This page was built for publication: Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras