Converse of the Eilers-Horst theorem

DOI10.1007/BF00670571zbMath0631.46067OpenAlexW1965004459MaRDI QIDQ1094645

Anatolij Dvurečenskij

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00670571

zbMATH Keywords

\(\sigma \)-finite measure on a quantum logicGleason statenonmeasurable cardinal

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) States of selfadjoint operator algebras (46L30)

Related Items (4)

Gleason's theorem and completeness criteria ⋮ Gleason's theorem and completeness of inner product spaces ⋮ Regular Gleason measures and generalized effect algebras ⋮ Bibliography on quantum logics and related structures

Cites Work

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• The theorem of Gleason for non-separable Hilbert spaces
• Generalization of Maeda's theorem
• Generalization of Gleason's theorem

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