Unsharp orthoalgebras and quantum MV algebras

Roberto Giuntini

pp. 325-337

in: Claudio Garola, Arcangelo Rossi (eds), The foundations of quantum mechanics, Berlin, Springer, 1995

Abstract

We prove that any unsharp orthoalgebra gives rise to a quantum MV algebra (QMV algebra) and that any QMV algebra determines in natural way an unsharp orthoalgebra. Some properties of the QMV algebra of all effects of a Hilbert space are also investigated.