[PDF][PDF] On the Radon-Nikodym property for vector measures and extensions of transfunctions

P Mikusiński, JP Ward - Annales Mathematicae Silesianae, 2021 - intapi.sciendo.com
If (µn)∞ n= 1 are positive measures on a measurable space (X, Σ) and (vn)∞ n= 1 are
elements of a Banach space E such that∑∞ n= 1 vn µn (X)<∞, then ω (S)=∑∞ n= 1 vnµn …

[PDF][PDF] Transfunctions applied to plans, Markov operators and optimal transport

J Bentley, P Mikusiński - Annales Mathematicae Silesianae, 2024 - sciendo.com
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 …

Transfunctions and their connections to plans, Markov operators and optimal transport

J Bentley, P Mikusiński - arxiv preprint arxiv:1810.08349, 2018 - arxiv.org
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 …

Transfunctions and Other Topics in Measure Theory

J Bentley - 2020 - stars.library.ucf.edu
Measures are versatile objects which can represent how populations or supplies are
distributed within a given space by assigning sizes to subregions (or subsets) of that space …

A characterization of the Radon-Nikodym property for vector valued measures

P Mikusinski, JP Ward - arxiv preprint arxiv:1701.04837, 2017 - arxiv.org
If $\mu_1,\mu_2,\dots $ are positive measures on a measurable space $(X,\Sigma) $ and $
v_1, v_2,\dots $ are elements of a Banach space ${\mathbb E} $ such that $\sum_ {n …