Proper effect algebras admitting no states
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Publication:5950970
DOI10.1023/A:1011911512416zbMath0989.81003MaRDI QIDQ5950970
Publication date: 2 January 2002
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Archimedean atomic lattice effect algebranonmodular complete effect algebraordering set of valuations
Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)
Related Items (20)
Effect algebraic extensions of generalized effect algebras and two-valued states ⋮ STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS ⋮ Unnamed Item ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Triple representation theorem for orthocomplete homogeneous effect algebras ⋮ Transitivity and equicontinuity in quantum measure spaces ⋮ Matrix representation of finite effect algebras ⋮ Small quantum structures with small state spaces ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Effect algebras of positive linear operators densely defined on Hilbert spaces ⋮ States on sharply dominating effect algebras ⋮ Quantum structures without group-valued measures ⋮ Some problems for sequential effect algebras ⋮ Existence of states on quantum structures ⋮ Isomorphism theorems on generalized effect algebras based on atoms ⋮ Pseudocomplemented lattice effect algebras and existence of states ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Basic decomposition of elements and Jauch-Piron effect algebras ⋮ Characterization of homogeneity in orthocomplete atomic effect algebras
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