{ "id": "math/0509112", "version": "v3", "published": "2005-09-05T23:11:12.000Z", "updated": "2012-10-26T00:26:43.000Z", "title": "New Reverse Inequalities for the Numerical Radius of Normal Operators in Hilbert Spaces", "authors": [ "Sever Silvestru Dragomir" ], "comment": "Thers era some typos that invalidate the main results", "categories": [ "math.FA" ], "abstract": "In this paper, more inequalities between the operator norm and its numerical radius, for the class of normal operators, are established. Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author.", "revisions": [ { "version": "v3", "updated": "2012-10-26T00:26:43.000Z" } ], "analyses": { "subjects": [ "46C05", "47A12" ], "keywords": [ "normal operators", "hilbert spaces", "numerical radius", "reverse inequalities", "operator norm" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }