Article ID Journal Published Year Pages File Type
6418935 Journal of Mathematical Analysis and Applications 2013 9 Pages PDF
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 σ-algebras on C(K) associated to the weak and pointwise convergence topologies.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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