A dichotomy for the convex spaces of probability measures
Functional Analysis
2011-04-11 v1
Abstract
We show that every nonempty compact and convex space M of probability Radon measures either contains a measure which has `small' local character in M or else M contains a measure of `large' Maharam type. Such a dichotomy is related to several results on Radon measures on compact spaces and to some properties of Banach spaces of continuous functions.
Keywords
Cite
@article{arxiv.1104.1451,
title = {A dichotomy for the convex spaces of probability measures},
author = {Mikołaj Krupski and Grzegorz Plebanek},
journal= {arXiv preprint arXiv:1104.1451},
year = {2011}
}
Comments
10 pages