On Maximal Measures
Functional Analysis
2013-03-25 v2 Operator Algebras
Abstract
The aim of this paper is to present some properties of Choquet maximal Radon probability measures on compact, convex subsets of Hausdorff, locally convex, topological real vector spaces. Theorem 3.12 is the main result of the paper. While somewhat technical, the results here are foundational for my proof of a Stone-Weierstrass theorem for non-separable C*-algebras, in the companion paper 'On the Stone-Weierstrass theorem'.
Cite
@article{arxiv.1111.2977,
title = {On Maximal Measures},
author = {Silviu Teleman},
journal= {arXiv preprint arXiv:1111.2977},
year = {2013}
}
Comments
A paper by Kacena and Spurny (Bull Sci Math 133, 2009) offers a counterexample to one of the key theorems here. The paper is withdrawn pending resolution of this matter