Extension properties of states on operator algebras

DOI10.1007/BF00676254zbMath0838.46050MaRDI QIDQ1907565

Jan Hamhalter

Publication date: 9 June 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Hahn-Banach extension propertyJauch-Piron statesextension problem for states on operator algebrasgeneral quantum logicsGleason extension propertyuniversal state extension property of projection logics

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum logic (03G12) States of selfadjoint operator algebras (46L30)

Cites Work

• Quantum logic, state space geometry and operator algebras
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Jauch-Piron states on von Neumann algebras
• Measures on projections and physical states
• Finitely Additive Measures on Projections in Finite W^* -Algebras
• Jauch–Piron states in W*-algebraic quantum mechanics
• Jauch–Piron states
• Continuity and linear extensions of quantum measures on Jordan operator algebras.
• Gleason Property and Extensions of States on Projection Logics
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