Mappings preserving sum of products a◊b + b*a (resp., a*◊b + ab*) on ∗-algebras

DOI10.22199/ISSN.0717-6279-5139MaRDI QIDQ6168622

Ali Taghavi, Maria das Graças Bruno Marietto, João Carlos da Motta Ferreira

Publication date: 11 July 2023

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

prime algebras\( \ast \)-algebras\( \ast \)-ring isomorphisms

Mathematics Subject Classification ID

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

Cites Work

• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• Mappings preserving sum of products \(a\circ b-ba^*\) on factor von Neumann algebras
• Nonlinear maps preserving mixed product on factors
• Maps preserving productX*Y + YX* on factor von Neumann algebras
• Maps preserving triple product A∗B + BA∗ on ∗-algebras

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