Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach

DOI10.1016/j.fss.2008.03.010zbMath1174.06013OpenAlexW2023769017MaRDI QIDQ835281

Sylvia Pulmannová

Publication date: 28 August 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2008.03.010

zbMATH Keywords

observablestateMarkov kernelweak Markov kernelprobability MV-algebra

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Quantum logic (03G12) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Set functions and measures on spaces with additional structure (28C99)

Related Items (6)

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 ⋮ Unnamed Item ⋮ Kripke style semantic for the logic of two valued-states ⋮ Observables on synaptic algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Triangular norm-based measures and their Markov kernel representation
• Tensor products and the Loomis-Sikorski theorem for MV-algebras
• D-lattices
• Sharp and fuzzy observables on effect algebras
• Spectral resolutions in Dedekind \(\sigma\)-complete \(\ell\)-groups
• Algebraic Analysis of Many Valued Logics
• Partial order of quantum effects
• Operational Quantum Physics
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