3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
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)…
Integrals with values in Banach spaces and locally convex spaces
Piotr Mikusinski
The purpose of this article is to present the construction and basic properties of the general Bochner integral. The approach presented here is based on the ideas from the book The…
The Daniell Integral
Elliot Blackstone, Piotr Mikusinski
The basic properties of the Daniell integral are presented. We do not use the standard approach of introducing auxiliary spaces of the "over-functions" and "under-functions." Inste…
A Sheaf of Boehmians
Jonathan Beardsley, Piotr Mikusinski
We show that Boehmians defined over open sets of constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over a top…