{ "id": "math/0411067", "version": "v1", "published": "2004-11-03T16:40:00.000Z", "updated": "2004-11-03T16:40:00.000Z", "title": "Banach function algebras with dense invertible group", "authors": [ "H. G. Dales", "J. F. Feinstein" ], "comment": "11 pages, LaTeX, no figures", "categories": [ "math.FA" ], "abstract": "In an earlier paper, Dawson and the second author asked whether or not a Banach function algebra with dense invertible group can have a proper Shilov boundary. We give an example of a uniform algebra showing that this can happen, and investigate the properties of such algebras.", "revisions": [ { "version": "v1", "updated": "2004-11-03T16:40:00.000Z" } ], "analyses": { "subjects": [ "46J10" ], "keywords": [ "banach function algebra", "dense invertible group", "proper shilov boundary", "uniform algebra", "earlier paper" ], "note": { "typesetting": "LaTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11067D" } } }