{ "id": "0804.2648", "version": "v1", "published": "2008-04-16T17:41:45.000Z", "updated": "2008-04-16T17:41:45.000Z", "title": "Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras", "authors": [ "Paolo Gibilisco", "Tommaso Isola" ], "journal": "Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 11, No. 1 (2008) 127-133", "categories": [ "math-ph", "math.MP", "math.OA" ], "abstract": "Recently Kosaki proved an uncertainty principle for matrices, related to Wigner-Yanase-Dyson information, and asked if a similar inequality could be proved in the von Neumann algebra setting. In this paper we prove such an uncertainty principle in the semifinite case.", "revisions": [ { "version": "v1", "updated": "2008-04-16T17:41:45.000Z" } ], "analyses": { "subjects": [ "62B10", "94A17", "46L30", "46L60" ], "keywords": [ "semifinite von neumann algebras", "uncertainty principle", "wigner-yanase-dyson information", "similar inequality", "von neumann algebra setting" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0804.2648G" } } }