Nonlinear *-Lie-type derivations on standard operator algebras

DOI10.1007/S10474-017-0783-6zbMath1399.47105OpenAlexW2771838718MaRDI QIDQ1747973

Xianqiang Yang

Publication date: 27 April 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0783-6

zbMATH Keywords

standard operator algebra*-Lie-type derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Hilbert algebras (46K15)

Related Items (9)

Multiplicative biskew Lie triple derivations on factor von Neumann algebras ⋮ Multiplicative λ-∗-Jordan triple higher derivations on standard operator algebras ⋮ Multiplicative Lie-type derivations on rings ⋮ Nonlinear bi-skew Lie-type derivations on factor von Neumann 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 type higher derivations of standard operator algebras ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras

Cites Work

• Nonlinear skew Lie triple derivations between factors
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on 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 maps preserving Jordan \(\ast\)-products
• Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products
• Nonlinear Lie-type derivations of von Neumann algebras and related topics
• Quadratic and Quasi-Quadratic Functionals
• Local Jordan *-derivations of standard operator algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras
• When are Multiplicative Mappings Additive?

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