Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras

DOI10.1007/s41980-021-00544-4OpenAlexW3138390543MaRDI QIDQ2119324

Saeed Gholampoor, Ali Taghavi

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00544-4

zbMATH Keywords

homomorphism\(\mathbb{C}\)-linearlinear preserver problem\(C^\ast\)-algebraabsolute valueconjugate \(\mathbb{C}\)-linear

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ 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 bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Unnamed Item

Cites Work

• Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
• Maps on density operators preserving quantum \(f\)-divergences
• Comparability preserving maps on Hilbert space effect algebras
• Preservers of \(\lambda\)-Aluthge transforms
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Additivity of Jordan *-maps between operator algebras
• Additivity of quadratic maps
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) 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
• Additivity of maps preserving Jordan \(\eta_{*}\)-products on \(C^{*}\)-algebras
• Maps preserving \(A^*A+AA^*\) on \(C^*\)-algebras
• Order-automorphisms of the set of bounded observables
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Nonlinear skew Jordan derivable maps on factor von Neumann algebras
• Additivity of *-Semigroup Isomorphisms among *-Algebras
• Additivity of Jordan | ast-Maps on AW ∗ -Algebras
• Nonlinear ∗-Jordan triple derivations on von Neumann algebras
• Maps preserving triple product A∗B + BA∗ on ∗-algebras
• Nonlinear mappings preserving Jordan multiple ∗– product on factor von Neumann algebras
• Maps preserving Jordan triple product $A^{*}B+BA^{*}$ on $\ast$-algebras
• When are Multiplicative Mappings Additive?
• Characterizations of the automorphisms of Hilbert space effect algebras
• Unnamed Item

This page was built for publication: Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras