Piecewise \(^\ast\)-homomorphisms and Jordan maps on \(C^\ast\)-algebras and factor von Neumann algebras

DOI10.1016/J.JMAA.2017.12.056zbMath1406.46050OpenAlexW2779473772MaRDI QIDQ1754634

Jan Hamhalter

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.056

zbMATH Keywords

Mackey-Gleason problemJordan-type maps on \(C^*\)-algebraspiecewise isomorphismsquasi-linearity problem

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (5)

Functional identities and their applications ⋮ Maps preserving products of commuting elements in von Neumann algebras ⋮ Linearity of maps on Banach and operator algebras ⋮ Additivity of quadratic maps on JB algebras ⋮ Maps preserving quadratic product between positive cones of JBW-algebras

Cites Work

• Unnamed Item
• Active lattices determine \(\mathrm{AW}^\ast\)-algebras
• Unitary groups as a complete invariant
• Foundations of quantum theory. From classical concepts to operator algebras
• Applying functional identities to some linear preserver problems.
• Additivity of Jordan *-maps between operator 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
• On the geometry of projections in certain operator 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

This page was built for publication: Piecewise \(^\ast\)-homomorphisms and Jordan maps on \(C^\ast\)-algebras and factor von Neumann algebras