{ "id": "1512.00788", "version": "v1", "published": "2015-12-02T17:58:03.000Z", "updated": "2015-12-02T17:58:03.000Z", "title": "A characterization of barrelledness of $C_p(X)$", "authors": [ "S. Gabriyelyan" ], "categories": [ "math.FA", "math.GN" ], "abstract": "We prove that, for a Tychonoff space $X$, the space $C_p(X)$ is barrelled if and only if it is a Mackey group.", "revisions": [ { "version": "v1", "updated": "2015-12-02T17:58:03.000Z" } ], "analyses": { "subjects": [ "46E10", "54H11" ], "keywords": [ "characterization", "barrelledness" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151200788G" } } }