Maps preserving quadratic product between positive cones of JBW-algebras

DOI10.1080/03081087.2019.1604621OpenAlexW2937384823MaRDI QIDQ4965675

Shirin Hejazian, Mozhdeh Safarizadeh

Publication date: 9 March 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1604621

zbMATH Keywords

quadratic operatorquadratic product\textit{JBW}-algebrapreserver mapping

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Nonassociative topological algebras (46H70)

Cites Work

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• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras
• Additivity of Jordan maps on standard Jordan operator algebras
• Additivity of Jordan *-maps between operator algebras
• Additivity of quadratic maps
• Continuous maps preserving Jordan triple products from \(\mathbb{GL}_n(\mathbb{C})\) into \(\mathbb{C}^\ast\)
• Piecewise \(^\ast\)-homomorphisms and Jordan maps on \(C^\ast\)-algebras and factor von Neumann algebras
• Additivity of Jordan maps on standard operator algebras
• Some multiplicative preservers on \(B(H)\)
• Nonlinear maps preserving Jordan \(\ast\)-products
• Additivity of Jordan multiplicative maps on Jordan operator algebras
• On the geometry of projections in certain operator algebras
• On isomorphisms of standard operator algebras
• Sequentially independent effects
• Additivity of Jordan | ast-Maps on AW ∗ -Algebras
• The Mackey-Gleason Problem
• Continuity and linear extensions of quantum measures on Jordan operator algebras.
• When are Multiplicative Mappings Additive?

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