Gleason's theorem in \(W^*J\)-algebras in spaces with indefinite metric

DOI10.1023/A:1026661904610zbMath0935.46052OpenAlexW25241125MaRDI QIDQ1805736

Marjan Matvejchuk

Publication date: 18 November 1999

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

Full work available at URL: https://doi.org/10.1023/a:1026661904610

zbMATH Keywords

von Neumann algebrasGleason theoremspace with an indefinite metricmeasures on hyperbolic logics

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (4)

Operator analogy of quantum pseudo-logic ⋮ Probability measure on real-orthogonal projections ⋮ Real orthogonal projections as quantum logic ⋮ Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem

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