{ "id": "1610.04162", "version": "v1", "published": "2016-10-13T16:34:45.000Z", "updated": "2016-10-13T16:34:45.000Z", "title": "An extension of the Pólya--Szegö operator inequality", "authors": [ "D. T. Hoa", "M. S. Moslehian", "C. Conde", "P. Zhang" ], "comment": "11 pages, to appear in Expos. Math", "categories": [ "math.FA", "math.OA" ], "abstract": "We extend an operator P\\'{o}lya--Szeg\\\"{o} type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pe\\v{c}ari\\'c method, we present some other related operator inequalities as well.", "revisions": [ { "version": "v1", "updated": "2016-10-13T16:34:45.000Z" } ], "analyses": { "subjects": [ "46L05", "47A30", "47A63" ], "keywords": [ "operator inequality", "operator geometric mean", "arbitrary operator mean", "type inequality", "related operator inequalities" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }