Determinacy of functionals and Lyapunov theorem for Jordan triple structures and von Neumann algebras

DOI10.1134/S1995080220120148zbMath1457.81015OpenAlexW3127653415MaRDI QIDQ2225814

Jan Hamhalter, Ekaterina Turilova

Publication date: 11 February 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080220120148

zbMATH Keywords

von Neumann algebrasnoncommutative Lyapunov theorems\(JBW^{\ast}\) algebras\(JBW^{\ast}\) triplescomparison of states and normal functionals

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) States of selfadjoint operator algebras (46L30) Convex sets without dimension restrictions (aspects of convex geometry) (52A05) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

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• Jordan \(C^*\)-algebras
• Structure of the predual of a JBW*-triple.
• Comparision of states and Darboux-type properties in von Neumann algebras.
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Exposed faces of the unit ball in a JBW*-triple
• Lyapunov theorems for operator algebras
• Quantum measure theory
• Theory of operator algebras I.

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