Article ID Journal Published Year Pages File Type
4669119 Bulletin des Sciences Mathématiques 2011 12 Pages PDF
Abstract

Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Bačák in the paper Point simpliciality in Choquet representation theory, Illinois J. Math. 53 (2009) 289–302, mainly for K metrizable. We study properties of the set of simpliciality for K nonmetrizable.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)