Transition to effect algebras

DOI10.1007/BF00676249zbMath0839.03049MaRDI QIDQ1907560

Richard J. Greechie, David J. Foulis

Publication date: 10 June 1996

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

zbMATH Keywords

surveyopen problemsfuzzy eventseffect algebraspartially ordered abelian groupsunsharp events

Mathematics Subject Classification ID

Quantum logic (03G12) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (11)

Quotients of interval effect algebras ⋮ Examples, problems, and results in effect algebras ⋮ Chain tensor products and interval effect algebras ⋮ Test groups and effect algebras ⋮ Effect test spaces ⋮ Effect algebras and statistical physical theories ⋮ Convex and linear effect algebras ⋮ Extensions of convexity models ⋮ Factorization of observables ⋮ Convergence theorems for topological group valued measures on effect algebras ⋮ On \(Q\)-upper algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Ranges of signed measures
• Extensions of semigroup valued, finitely additive measures
• Filters and supports in orthoalgebras
• The structure of projection-valued states: A generalization of Wigner's theorem
• Fuzzy logics and observables
• Logicoalgebraic structures. II: Supports in test spaces
• Sums and products of interval algebras
• D-test spaces and difference posets
• Brouwer-Zadeh posets and three-valued Łukasiewicz posets
• The center of an effect algebra
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• The Mackey-Gleason Problem
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