New look at Gleason's theorem for signed measures

DOI10.1007/BF00668916zbMath0631.46065OpenAlexW1971113636MaRDI QIDQ1094643

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/bf00668916

zbMATH Keywords

bilinear formquantumGleason theorem for semibounded infinite signed measures

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) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (3)

Hahn-Jordan decomposition for Gleason measures ⋮ Bibliography on quantum logics and related structures ⋮ A Boolean-valued approach to Gleason's theorem

Cites Work

• Toward finite quantum field theories
• Generalization of Gleason's theorem
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