Metatimes, random measures and cylindrical random variables
The authors study a metatime, which is a map between two \(\sigma\)-algebras, such that images of disjoint sets are disjoint and which distributes over taking a countable union of disjoint sets. A \(\sigma\)-metatime commutes with taking the complement. An example of a metatime is constructed by taking the inverse image of a measurable function. The authors uplift their definition of metatimes to become an isometric linear operator acting on \(L^2\)-spaces and study its properties. They also consider transformations of random measures with metatimes.
scientific article; zbMATH DE number 7450960