{ "id": "1711.07225", "version": "v1", "published": "2017-11-20T09:41:01.000Z", "updated": "2017-11-20T09:41:01.000Z", "title": "Domination of quadratic forms", "authors": [ "Daniel Lenz", "Marcel Schmidt", "Melchior Wirth" ], "comment": "The article arXiv:1608.06798v1 has been split, the present article contains the first part. The material presented here is partly based on the third named author's master's thesis (arXiv:1604.05114)", "categories": [ "math.FA" ], "abstract": "We study domination of quadratic forms in the abstract setting of ordered Hilbert spaces. Our main result gives a characterization in terms of the associated forms. This generalizes and unifies various earlier works. Along the way we present several examples.", "revisions": [ { "version": "v1", "updated": "2017-11-20T09:41:01.000Z" } ], "analyses": { "subjects": [ "47A63", "47B65" ], "keywords": [ "quadratic forms", "study domination", "ordered hilbert spaces", "main result", "earlier works" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }