3 papers
math.FA2018
Transfunctions and their connections to Plans, Markov Operators and Optimal Transport
Jason Bentley, Piotr Mikusiński
A transfunction is a function which maps between sets of finite measures on measurable spaces. In this paper we characterize transfunctions that correspond to Markov operators and…
math.CA2018
Pseudoquotient extensions of measure spaces
Piotr Mikusinski
A space of pseudoquotients is defined as equivalence classes of pairs , where is an element of a non-empty set , is an element of , a commut…
math.FA2017
A characterization of the Radon-Nikodym property for vector valued measures
Piotr Mikusinski, John Paul Ward
If are positive measures on a measurable space and are elements of a Banach space such that $\sum_{n=1}^\infty \|v_n\| μ_n(X)…