Brooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property

DOI10.1007/BF00674948zbMath0822.60004MaRDI QIDQ1894583

Eissa D. Habil

Publication date: 3 August 1995

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

zbMATH Keywords

Brooks-Jewett theoremorthoalgebrasNikodym convergence theoremweak subsequential interpolation property

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Foundations of probability theory (60A99)

Related Items (5)

Unnamed Item ⋮ The intersection operation in light of joint observables and Bell inequalities in operational probability theory ⋮ Bounded vector measures on effect algebras ⋮ Convergence theorems for topological group valued measures on effect algebras ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups

Cites Work

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• The Brooks-Jewett theorem on an orthomodular lattice
• Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
• Realistic quantum probability
• Filters and supports in orthoalgebras
• Tensor products of orthoalgebras
• Decompositions of measures on orthoalgebras and difference posets
• Orthosummable orthoalgebras
• Orthomodular lattices admitting no states
• The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
• The Approximate Jordan-Hahn Decomposition
• THE LEBESGUE DECOMPOSITION OF MEASURES ON ORTHOMODULAR POSETS
• On Finitely Additive Vector Measures

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