DILATION THEOREMS FOR POSITIVE OPERATOR-VALUED MEASURES
E. Hensz-Chądzyńska R. Jajte A. Paszkiewicz
Abstract: Let be a positive operator-valued measure defined on a
measurable space This means that
with for Then has a “dilation” of the form
in Namely, for some “identification” map
the equality holds. The indicator operators
are taken for a set with some -lattice homomorphism Other
dilation formulas of that type are collected.