A dichotomy for the convex spaces of probability measures

Details A dichotomy for the convex spaces of probability measures A dichotomy for the convex spaces of probability measures

2011-04-07

arxiv.org/abs/1104.1451v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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.

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