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Partially additive states on orthomodular posets

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Publication:3982222
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DOI10.4064/cm-62-1-7-14zbMath0784.03037OpenAlexW188415145MaRDI QIDQ3982222

Josef Tkadlec

Publication date: 26 June 1992

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210102


zbMATH Keywords

representationBoolean algebraorthomodular posetextension of statesStone representationcompact Hausdorff closure spacepartially additive state


Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Stone spaces (Boolean spaces) and related structures (06E15) Quantum logic (03G12) Set functions, measures and integrals with values in ordered spaces (28B15)


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Jauch-Piron property (everywhere!) in the logicoalgebraic foundation of quantum theories ⋮ Partially additive measures and set representations of orthoposets ⋮ On the set-representable orthomodular posets that are point-distinguishing ⋮ Equational characterization for two-valued states in orthomodular quantum systems ⋮ Two-valued states on Baer \(^\ast\)-semigroups ⋮ Logical approach for two-valued states on quantum systems ⋮ Kripke style semantic for the logic of two valued-states




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