Nonlinear maps preserving the mixed product \(A \bullet B \circ C\) on von Neumann algebras

DOI10.1216/rmj.2023.53.671OpenAlexW4385079438MaRDI QIDQ6134900

Leila Abedini, Ali Taghavi

Publication date: 23 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/NONLINEAR-MAPS-PRESERVING-THE-MIXED-PRODUCT-ABC-ON-VON-NEUMANN/10.1216/rmj.2023.53.671.full

zbMATH Keywords

von Neumann algebrasisomorphismJordan \(\ast\)-product

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48)

Cites Work

• Unnamed Item
• Nonlinear maps preserving the Jordan triple \(*\)-product on 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
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• Nonlinear maps preserving Jordan \(\ast\)-products
• Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras
• Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products
• Lie homomorphisms of operator algebras
• Maps preserving productX*Y + YX* on factor von Neumann algebras
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