{ "id": "1707.03320", "version": "v1", "published": "2017-07-11T15:24:59.000Z", "updated": "2017-07-11T15:24:59.000Z", "title": "Generalizations of Reid Inequality", "authors": [ "Souheyb Dehimi", "Mohammed Hichem Mortad" ], "comment": "10 pages", "categories": [ "math.FA", "math.OA" ], "abstract": "In this paper, we improve the famous Reid Inequality related to linear operators. Some monotony results for positive operators are also established with a different approach from what is known in the existing literature. Lastly, Reid and Halmos-Reid inequalities are extended to unbounded operators.", "revisions": [ { "version": "v1", "updated": "2017-07-11T15:24:59.000Z" } ], "analyses": { "keywords": [ "generalizations", "famous reid inequality", "linear operators", "monotony results" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }