Nonlinear skew Jordan derivable maps on factor von Neumann algebras

DOI10.1080/03081087.2016.1139035zbMath1353.47073OpenAlexW2282446207MaRDI QIDQ3179165

Fangjuan Zhang

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1139035

zbMATH Keywords

von Neumann algebra\(*\)-derivationskew Jordan derivable map

Mathematics Subject Classification ID

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

Related Items (16)

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 ⋮ Multiplicative λ-∗-Jordan triple higher derivations on standard operator algebras ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ 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 ⋮ Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher 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

Cites Work

• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Strong skew commutativity preserving maps on von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Prime rings with involution equipped with some new product
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Maps preserving strong skew Lie product on factor von Neumann algebras
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• On maps preserving zeros of the polynomial \(xy - yx^\ast\)
• Maps preserving productX*Y + YX* on factor von Neumann algebras
• Nonlinear mappings preserving Jordan multiple ∗– product on factor von Neumann algebras

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