Characterization of spaces of filtering states

DOI10.1007/s10773-009-0213-9zbMath1241.06006OpenAlexW2056316193MaRDI QIDQ616808

Mirko Navara

Publication date: 12 January 2011

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

Full work available at URL: https://doi.org/10.1007/s10773-009-0213-9

zbMATH Keywords

orthomodular lattice\(\sigma\)-additive statefiltering statefinitely additive statesemi-exposed face

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

• Existence of states on quantum structures
• A characterization of \(\sigma\)-state spaces of orthomodular lattices
• Orthomodular structures as quantum logics. Transl. from the Slovak
• A characterization of state spaces of orthomodular lattices
• Small quantum structures with small state spaces
• Orthomodular lattices admitting no states
• Weakly Purely Finitely Additive Measures
• Finitely Additive Measures
• Yosida-Hewitt and Lebesgue decompositions of states on orthomodular posets
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