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arXiv:1208.2207 [math.FA]AbstractReferencesReviewsResources

On Baire measurability in spaces of continuous functions

Antonio Avilés, Grzegorz Plebanek, José Rodríguez

Published 2012-08-10Version 1

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.

Journal: J. Math. Anal. App. 398 (2013) 230-238
Categories: math.FA
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