On orders of observables on effect algebras

DOI10.1007/S10773-017-3472-XzbMath1387.81015arXiv1610.03726OpenAlexW2735334762MaRDI QIDQ682671

Juan-Miguel Gracia, Anatolij Dvurečenskij

Publication date: 5 February 2018

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

Full work available at URL: https://arxiv.org/abs/1610.03726

zbMATH Keywords

semigroupobservableeffect algebralattice effect algebra\(\ell\)-groupMV-effect algebraspectral resolutionmonotone \(\sigma\)-complete effect algebraOlson orderstandard ordersystem of statessum of observablessharp observable

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Quantum logic (03G12)

Related Items (10)

Observables on \(\sigma\)-frame effect algebras as upper semicontinuous functions ⋮ Two-dimensional observables and spectral resolutions ⋮ The spectrum of the sum of observables on \(\sigma\)-complete MV-effect algebras ⋮ Outer and inner approximations in quantum spaces ⋮ The sum of observables on a \(\sigma\)-distributive lattice effect algebra ⋮ Extensions of a tight function and their continuity in quantum logic ⋮ Spectral resolutions and observables in \(n\)-perfect MV-algebras ⋮ Observables on perfect MV-algebras ⋮ Sum of \(n\)-dimensional observables on MV-effect algebras ⋮ Approximating families for lattice outer measures on unsharp quantum logics

Cites Work

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