{ "id": "1803.04630", "version": "v1", "published": "2018-03-13T05:37:32.000Z", "updated": "2018-03-13T05:37:32.000Z", "title": "An integral representation of operator means via the power means and an application to the Ando-Hiai inequality", "authors": [ "Takeaki Yamazaki" ], "comment": "7 pages", "categories": [ "math.FA" ], "abstract": "An integral representation of an operator mean via the power means is obtained. As an application, we shall give explicit condition of operator means that the Ando-Hiai inequality holds.", "revisions": [ { "version": "v1", "updated": "2018-03-13T05:37:32.000Z" } ], "analyses": { "subjects": [ "47A64", "47A63" ], "keywords": [ "operator mean", "power means", "integral representation", "application" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }