This is an announcement for the paper "On Baire measurability in spaces of continuous functions" by Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez.

Abstract: Let C(K) be the Banach space of all continuous functions on a given compact space K. We investigate the w*-sequential closure in C(K)* of the set of all finitely supported probabilities on K. We discuss the coincidence of the Baire sigma-algebras on C(K) associated to the weak and pointwise convergence topologies.

Archive classification: math.FA

Submitted from: avileslo@um.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1208.2207

or

http://arXiv.org/abs/1208.2207