Point simpliciality in Choquet representation theory
Bačák, Miroslav
Illinois J. Math., Tome 53 (2009) no. 1, p. 289-302 / Harvested from Project Euclid
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Let $\mathcal{H}$ be a function space on a compact space K. If $\mathcal{H}$ is not simplicial, we can ask at which points of K there exist unique maximal representing measures. We shall call the set of such points the set of simpliciality. The aim of this paper is to examine topological, algebraic and measure-theoretic properties of the set of simpliciality. We shall also define and investigate sets of points enjoying other simplicial-like properties.
Publié le : 2009-05-15
Classification:  46A55 
@article{1264170851,
     author = {Ba\v c\'ak, Miroslav},
     title = {Point simpliciality in Choquet representation theory},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 289-302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264170851}
}

Bačák, Miroslav. Point simpliciality in Choquet representation theory. Illinois J. Math., Tome 53 (2009) no. 1, pp.  289-302. http://gdmltest.u-ga.fr/item/1264170851/