{ "id": "1504.05135", "version": "v1", "published": "2015-04-20T17:49:28.000Z", "updated": "2015-04-20T17:49:28.000Z", "title": "Marginable functions on Fréchet spaces", "authors": [ "Stephen Simons" ], "comment": "9 pages", "categories": [ "math.FA" ], "abstract": "This paper is about the technique of {\\em shadow variables} that was used in the theory of monotone operators. In this paper, we use it to show that certain results that were originally proved for lower semicontinuous convex functions are in fact true for {\\em marginable} convex functions.", "revisions": [ { "version": "v1", "updated": "2015-04-20T17:49:28.000Z" } ], "analyses": { "subjects": [ "46N10", "49J52", "46A22", "46A04", "65K10" ], "keywords": [ "fréchet spaces", "marginable functions", "lower semicontinuous convex functions", "monotone operators", "shadow variables" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150405135S" } } }