{ "id": "2204.14233", "version": "v1", "published": "2022-04-29T17:04:58.000Z", "updated": "2022-04-29T17:04:58.000Z", "title": "Generalized Buzano's Inequality", "authors": [ "Tamara Bottazzi", "Cristian Conde" ], "comment": "15 pages, submitted to a Journal", "categories": [ "math.FA", "math.OA" ], "abstract": "The paper deals with the Buzano's inequality on a complex Hilbert space H. Mainly, we obtain generalizations of such classical inequality, which hold for certain families of bounded linear operators defined on H. In addition, several new inequalities involving the norm and numerical radius of an operator are established.", "revisions": [ { "version": "v1", "updated": "2022-04-29T17:04:58.000Z" } ], "analyses": { "subjects": [ "46C05", "26D15", "47B65", "47A12" ], "keywords": [ "generalized buzanos inequality", "complex hilbert space", "paper deals", "bounded linear operators", "generalizations" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }