Product vector measures via Bartle integrals (Q801168)

The authors consider the product of two measures with values in locally convex topological vector spaces X, Y, with respect to a given bilinear map \(X\times Y\to Z\), where Z is also a locally convex topological vector space. They prove also the existence of an integral representation of the product measure, which generalizes Bartle's *-integral. This has been proved for measures fulfilling boundedness and absolute continuity conditions with respect to a positive finite measure. There are given comprehensive examples of measures which fail to have the latter property.