Smearings of states defined on sharp elements onto effect algebras

DOI10.1023/A:1020136531601zbMath1016.81005MaRDI QIDQ1855317

Zdenka Riečanová

Publication date: 4 February 2003

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

zbMATH Keywords

effect algebraorder-continuitysharp elementsexistence of state

Mathematics Subject Classification ID

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

Related Items (24)

Pasting of lattice-ordered effect algebras ⋮ Unnamed Item ⋮ Effect algebraic extensions of generalized effect algebras and two-valued states ⋮ Almost orthogonality and Hausdorff interval topologies of De Morgan lattices and lattice effect algebras ⋮ Unnamed Item ⋮ Order topology and Frink ideal topology of effect algebras ⋮ Compactly generated De Morgan lattices, basic algebras and effect algebras ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Torsion elements in effect algebras ⋮ Unnamed Item ⋮ Small quantum structures with small state spaces ⋮ Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras ⋮ The inheritance of BDE-property in sharply dominating lattice effect algebras and \((o)\)-continuous states ⋮ Unnamed Item ⋮ Unnamed Item ⋮ States on sharply dominating effect algebras ⋮ Quantum structures without group-valued measures ⋮ Unnamed Item ⋮ Sharply dominating MV-effect algebras ⋮ Isomorphism theorems on generalized effect algebras based on atoms ⋮ Pseudocomplemented lattice effect algebras and existence of states ⋮ Unnamed Item ⋮ Basic decomposition of elements and Jauch-Piron effect algebras ⋮ Characterization of homogeneity in orthocomplete atomic effect algebras

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