Observables on quantum structures

  • Authors:
  • Anatolij Dvurečenskij;Mária Kuková

  • Affiliations:
  • -;-

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2014

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Abstract

An observable on a quantum structure is any @s-homomorphism of quantum structures from the Borel @s-algebra into the quantum structure. We show that our partial information on an observable known only for all intervals of the form (-~,t) is sufficient to derive the whole information about the observable defined on quantum structures like @s-MV-algebras, @s-lattice effect algebras, Boolean @s-algebras, monotone @s-complete effect algebras with the Riesz Decomposition Property, the effect algebra of effect operators of a Hilbert space, and systems of functions - effect-tribes.