Additivity of quadratic maps on JB algebras

DOI10.1134/S1995080219100123zbMath1477.46058OpenAlexW2980512406WikidataQ127029459 ScholiaQ127029459MaRDI QIDQ2284223

Jan Hamhalter, Ekaterina Turilova

Publication date: 14 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219100123

zbMATH Keywords

quadratic mapsautomatic additivityJB algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65)

Related Items (2)

Maps preserving products of commuting elements in von Neumann algebras ⋮ Linearity of maps on Banach and operator algebras

Cites Work

• Active lattices determine \(\mathrm{AW}^\ast\)-algebras
• Foundations of quantum theory. From classical concepts to operator algebras
• Additivity of Jordan *-maps between operator algebras
• Additivity of quadratic maps
• Jordan \(C^*\)-algebras
• Piecewise \(^\ast\)-homomorphisms and Jordan maps on \(C^\ast\)-algebras and factor von Neumann algebras
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
• Jordan triple endomorphisms and isometries of unitary groups
• Projections in Banach algebras
• General Mazur–Ulam Type Theorems and Some Applications
• ADDITIVITY OF JORDAN TRIPLE PRODUCT HOMOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS
• Jordan triple endomorphisms and isometries of spaces of positive definite matrices
• Jordan Homomorphisms
• The Mackey-Gleason Problem
• Quantum measure theory
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