Nonlinear maps preserving a family of sum of triple products on \(\ast\)-algebras

DOI10.1007/S41980-022-00713-ZOpenAlexW4289868336MaRDI QIDQ2682751

João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto

Publication date: 1 February 2023

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

Full work available at URL: https://doi.org/10.1007/s41980-022-00713-z

zbMATH Keywords

prime algebraspreserving problems\(\ast\)-algebras\(\ast\)-ring anti-isomorphisms\(\ast\)-ring isomorphisms

Mathematics Subject Classification ID

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

Related Items (1)

Nonlinear maps of ⁎-derivation-type on a family of sum of triple products on ⁎-algebras

Cites Work

• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Nonlinear maps preserving the Jordan triple *-product on factor von Neumann algebras
• Nonlinear maps preserving mixed product on factors
• Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras
• Jordan Homomorphisms
• Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras

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