Jauch-Piron states on von Neumann algebras

DOI10.1007/BF02571726zbMath0791.46043OpenAlexW1992093271MaRDI QIDQ1323414

Leslie J. Bunce, Jan Hamhalter

Publication date: 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174624

zbMATH Keywords

Jauch-Piron states on a von Neumann algebranon-\(\sigma\)-algebrasType III

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (7)

States on projection logics of von Neumann algebras ⋮ Jauch-Piron property (everywhere!) in the logicoalgebraic foundation of quantum theories ⋮ JAUCH–PIRON STATES AND σ-ADDITIVITY ⋮ Quantum measurable cardinals ⋮ Structure, dynamics and spectroscopy of single molecules: A challenge to quantum mechanics ⋮ Extension properties of states on operator algebras ⋮ Extension of Jauch–Piron states on Jordan algebras

Cites Work

• Orthomodular structures as quantum logics. Transl. from the Slovak
• Measures on projections and physical states
• Axioms for non-relativistic quantum mechanics
• Complex Measures on Projections in Von Neumann Algebras
• Finitely Additive Measures on Projections in Finite W^* -Algebras
• QUANTUM LOGICS WITH JAUCH–PIRON STATES
• Jauch–Piron states in W*-algebraic quantum mechanics
• The Mackey-Gleason Problem
• Jauch–Piron states
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