Nonlinear maps preserving the Jordan triple \(\ast\)-product between factors
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Publication:1705753
DOI10.1016/J.INDAG.2017.10.010zbMath1425.46050OpenAlexW2767307911MaRDI QIDQ1705753
Publication date: 16 March 2018
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.indag.2017.10.010
General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48) Nonassociative selfadjoint operator algebras (46L70)
Related Items (23)
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 ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ The second nonlinear mixed Lie triple derivations on finite 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 ⋮ Nonlinear maps preserving the mixed product \(A \bullet B \circ C\) on von Neumann algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Multiplicative Lie-type derivations on alternative rings ⋮ Unnamed Item ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Multiplicative *-Lie type higher derivations of standard operator algebras ⋮ Nonlinear maps preserving mixed product on factors ⋮ Unnamed Item ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ Generalized Lie-type derivations of alternative algebras
Cites Work
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- Nonlinear maps preserving the Jordan triple 1-\(*\)-product on 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
- Nonlinear maps preserving Jordan \(\ast\)-products
- Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products
- On Jordan *-derivations and an application
- Quadratic and Quasi-Quadratic Functionals
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