States on quantum structures versus integrals

DOI10.1007/s10773-011-0693-2zbMath1250.81013OpenAlexW2094584743MaRDI QIDQ429933

Anatolij Dvurečenskij

Publication date: 20 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10773-011-0693-2

zbMATH Keywords

stateeffect algebraChoquet simplexpseudo MV-algebrapseudo BL-algebrapseudo effect algebraBauer simplexRiesz decomposition properties

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Other algebras related to logic (03G25) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35)

Related Items (7)

States on quantum and algebraic structures and their integral representation ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ States on EMV-algebras ⋮ On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices

Cites Work

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