On Baire measurability in spaces of continuous functions
Functional Analysis
2014-06-30 v1
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.
Keywords
Cite
@article{arxiv.1208.2207,
title = {On Baire measurability in spaces of continuous functions},
author = {Antonio Avilés and Grzegorz Plebanek and José Rodríguez},
journal= {arXiv preprint arXiv:1208.2207},
year = {2014}
}