Mixtures of nonatomic measures. III
Modular functions on multilattices
We prove that every modular function on a multilattice with values in a topological Abelian group generates a uniformity on which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of .
Moments of vector measures and Pettis integrable functions
Conditions, under which the elements of a locally convex vector space are the moments of a regular vector-valued measure and of a Pettis integrable function, both with values in a locally convex vector space, are investigated.
Monoidwertige Integrale
Monotone approximation of measurable multifunctions by simple multifunctions
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Multifunctions of two variables: examples and counterexamples
A brief account of the connections between Carathéodory multifunctions, Scorza-Dragoni multifunctions, product-measurable multifunctions, and superpositionally measurable multifunctions of two variables is given.
Multilinear integration of bounded scalar valued functions
Multiple Lebesgue integration on time scales.