[Banach] Abstract of a paper by Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez

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