Non-linear *-Jordan derivations on von Neumann algebras

DOI10.1080/03081087.2015.1043855zbMath1353.46049arXiv1504.04147OpenAlexW2026362953MaRDI QIDQ2787607

Ali Taghavi, Hamid Rohi, Vahid Darvish

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04147

zbMATH Keywords

von Neumann algebraadditive map\(^*\)-Jordan derivation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (22)

A note on nonlinear mixed Jordan triple derivation on *-algebras ⋮ Mixed *-Jordan-type derivations on *-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 ⋮ 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 ⋮ 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 ⋮ Unnamed Item ⋮ A note on strong (skew) η-Lie products preserving maps on some algebras ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ A note on strong \(\eta \)-Lie products preserving maps on some algebras ⋮ Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-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
• Multiplicative \(*\)-Lie isomorphisms between factors
• Additivity of Jordan maps on standard Jordan operator algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Additivity of Jordan maps on standard operator 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
• Isometries of operator algebras
• Additivity of Lie multiplicative maps on triangular algebras
• Multiplicative Lie Isomorphisms Between Prime Rings
• Jordan Maps on Associative Algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras

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