THE VITALI-HAHN-SAKS THEOREM FOR THE PRODUCT OF QUANTUM LOGICS
Anna De Simone, Mirko Navara, Pavel Pták · Demonstratio Mathematica · 2002
We show as a main result that if each quantum logic of a given collection of quantum logics satisfies the Vitali-Hahn-Saks theorem, then so does their product. As a consequence we formulate a dual result for the sum of a collection of Dynkin systems.