Tuesday, May 1, 2012

1204.6460 (Anatolij Dvurečenskij et al.)

Observables on Quantum Structures    [PDF]

Anatolij Dvurečenskij, Mária Kuková
An observable on a quantum structure is any $\sigma$-homomorphism of quantum structures from the Borel $\sigma$-algebra into the quantum structure. We show that our partial information on an observable known only for all intervals of the form $(-\infty,t)$ is sufficient to determine uniquely the whole observable defined on quantum structures like $\sigma$-MV-algebras, $\sigma$-effect algebras, Boolean $\sigma$-algebras, monotone $\sigma$-complete effect algebras with the Riesz Decomposition Property, the effect algebra of effect operators of a Hilbert space, and a system of functions, and an effect-tribe.
View original: http://arxiv.org/abs/1204.6460

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