{ "id": "1208.2207", "version": "v1", "published": "2012-08-10T16:00:44.000Z", "updated": "2012-08-10T16:00:44.000Z", "title": "On Baire measurability in spaces of continuous functions", "authors": [ "Antonio Avilés", "Grzegorz Plebanek", "José Rodríguez" ], "journal": "J. Math. Anal. App. 398 (2013) 230-238", "categories": [ "math.FA" ], "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.", "revisions": [ { "version": "v1", "updated": "2012-08-10T16:00:44.000Z" } ], "analyses": { "keywords": [ "continuous functions", "baire measurability", "banach space", "compact space", "baire sigma-algebras" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.2207A" } } }