{ "id": "1810.05710", "version": "v1", "published": "2018-10-12T20:21:33.000Z", "updated": "2018-10-12T20:21:33.000Z", "title": "Numerical radius inequalities for Hilbert Space Operators", "authors": [ "Mohammad W. Alomari" ], "comment": "16 pages", "categories": [ "math.FA" ], "abstract": "In this work, an improvement of H\\\"{o}lder-McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently, some new numerical radius inequalities are proved. Some of the presented results are refined and it shown to be better than earlier results were proved in literature.", "revisions": [ { "version": "v1", "updated": "2018-10-12T20:21:33.000Z" } ], "analyses": { "subjects": [ "47A12", "47A30" ], "keywords": [ "numerical radius inequalities", "hilbert space operators", "generalized mixed schwarz inequality", "earlier results", "refinements" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }