Non-linear ξ-Jordan *-derivations on von Neumann algebras

DOI10.1080/03081087.2013.780603zbMath1293.47037OpenAlexW3148806730MaRDI QIDQ5495733

Fangyan Lu, Xiao Chun Fang, Chang Jing Li

Publication date: 7 August 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.780603

zbMATH Keywords

von Neumann algebras*-derivations{\(\xi\)}-Jordan *-derivations

Mathematics Subject Classification ID

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

Related Items (32)

Mixed *-Jordan-type derivations on *-algebras ⋮ Nonlinear maps preserving the Jordan triple *-product on factor von Neumann algebras ⋮ Strong skew commutativity preserving maps on rings with involution. ⋮ Nonlinear \(\xi\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ Nonlinear \(\ast\)-Jordan-type derivations on alternative \(\ast\)-algebras ⋮ Nonlinear skew Lie triple derivations between factors ⋮ Multiplicative λ-∗-Jordan triple higher derivations on standard operator algebras ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ Nonlinear \(*\)-Lie \(n\)-tuple derivations on prime \(*\)-algebras ⋮ Nonlinear \(\ast\)-Jordan triple derivation on prime \(\ast\)-algebras ⋮ Maps preserving the bi-skew Jordan product on factor von Neumann algebras ⋮ Reverse ∗-Jordan type maps on Jordan ∗-algebras ⋮ Maps preserving n-tuple A*B − B*A derivations on factor von Neumann algebras ⋮ Multiplicative bi-skew Jordan triple derivations on prime \(\ast \)-algebra ⋮ Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Nonlinear triple product \(A^*B + B^*A\) for derivations on \(\ast \)-algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Triple derivable maps on prime algebras with involution ⋮ Strong 3-skew commutativity preserving maps on prime rings with involution ⋮ Nonlinear ∗-Jordan triple derivations on von Neumann algebras ⋮ Strong 2-skew commutativity preserving maps on prime rings with involution ⋮ \(\ast\)-Jordan semi-triple derivable mappings ⋮ Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Nonlinear *-Lie-type derivations on standard operator algebras ⋮ Lie Triple Derivable Mappings on Rings ⋮ Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ Non-linear *-Jordan derivations on von Neumann algebras ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ Non-linear new product A*B-B*A derivations on *-algebras ⋮ A note on nonlinear skew Lie triple derivation between Prime $\ast$-algebras

Cites Work

• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Maps preserving products \(XY - YX^*\) on von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor 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
• The structure of nonlinear Lie derivation on von Neumann algebras
• Lie homomorphisms of operator algebras

This page was built for publication: Non-linear ξ-Jordan *-derivations on von Neumann algebras