{ "id": "1102.4969", "version": "v2", "published": "2011-02-24T12:12:55.000Z", "updated": "2011-06-10T11:11:40.000Z", "title": "On determining the domain of the adjoint operator", "authors": [ "Michal Wojtylak" ], "categories": [ "math.FA", "math.SP" ], "abstract": "A theorem that is of aid in computing the domain of the adjoint operator is provided. It may serve e.g. as a criterion for selfadjointness of a symmetric operator, for normality of a formally normal operator or for $H$--selfadjointness of an $H$--symmetric operator. Differential operators and operators given by an infinite matrix are considered as examples.", "revisions": [ { "version": "v2", "updated": "2011-06-10T11:11:40.000Z" } ], "analyses": { "subjects": [ "47A05", "47B50", "47B15", "47F05" ], "keywords": [ "adjoint operator", "symmetric operator", "infinite matrix", "differential operators", "formally normal operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.4969W" } } }