Representation of states on effect-tribes and effect algebras by integrals

DOI10.1016/S0034-4877(11)80011-XzbMath1238.81008arXiv1006.1958OpenAlexW3103790517MaRDI QIDQ410678

Anatolij Dvurečenskij

Publication date: 3 April 2012

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

Full work available at URL: https://arxiv.org/abs/1006.1958

zbMATH Keywords

statesimplexeffect algebraRiesz decomposition propertyintegral\(\sigma\)-convex combinationBauer simplexeffect-claneffect-tribeextremal stateJauch--Piron statemonotone \(\sigma\)-complete effect algebraunital po-group

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Many-valued logic (03B50)

Related Items

Remarks on effect-tribes, Smearing of observables and spectral measures on quantum structures, States and synaptic algebras, Effect algebras with a full set of states

Cites Work

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