Conditional probabilities on orthomodular lattices

DOI10.1016/0034-4877(84)90070-3zbMath0564.60003OpenAlexW1967755404MaRDI QIDQ1058222

Piero Truini, Gianni Cassinelli

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90070-3

zbMATH Keywords

von Neumann algebranon-commutative probability theoryprobability on an orthomodular lattice

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Probabilistic measure theory (60A10) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items

Bibliography on quantum logics and related structures ⋮ Conditional probability on a quantum logic ⋮ Conditional states and independence in D-posets ⋮ S-map and tracial states ⋮ Calculus for non-compatible observables, construction through conditional states

Cites Work

• Ideal, first-kind measurements in a proposition-state structure
• Conditional expectation and commutativity in von Neumann algebras
• The noncommutative Markovian property
• Axioms for non-relativistic quantum mechanics
• Uniqueness and existence properties of bounded observables
• Baer \(^ *\)-semigroups and the logic of quantum mechanics
• Semimodularity and the logic of quantum mechanics
• A non-commutative extension of abstract integration
• Spectral Methods for a Generalized Probability Theory
• Noncommutative Probability on von Neumann Algebras
• A Radon-Nikodym Theorem in Dimension Lattices
• Abstract Probability Spaces and a Theorem of Kolmogoroff
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