On two problems of quantum logics
Anatolij Dvurečenskij · Czech digital mathematics library · 1986
ANATOLIJ DVURECENSKIJThe solution to the Gudder conjecture on an equivalence of the independence and the strong independence of observables on a logic of a separable Hilbert space, and its generalization to a logic of a Hilbert space whose dimension is a non-real measurable cardinal are given.Further we bring a positive answer to a problem of the author: supposing a system of observables has a joint distribution in a state is then the state a valuation on the minimal sublogic generated by all ranges of the observables ?