On the L-p space of observables
A space of fuzzy sets M is considered as a base of a quantum structure model (fuzzy quantum logic, see Riecan and Neubrunn, Integral, Measure and Ordering, Kluwer, Dordrecht, 1997). A state is a morphism from M to the unit interval, an observable is a morphism from Borel sets to M. The subspace L-p Of observables is studied and it is proved that L-p considered with the corresponding pseudometric is a complete pseudometric space. (C) 1999 Elsevier Science B.V. All rights reserved.
observables fuzzy quantum logic complete metric spaces