{ "id": "1809.00664", "version": "v1", "published": "2018-09-03T17:21:46.000Z", "updated": "2018-09-03T17:21:46.000Z", "title": "Cogenerators of $2$-isometric Hilbert space endomorphism semigroups", "authors": [ "Eskil Rydhe" ], "categories": [ "math.FA" ], "abstract": "We observe a necessary and sufficient condition for a bounded linear Hilbert space operator to be the cogenerator of a $C_0$-semigroup of $2$-isometries.", "revisions": [ { "version": "v1", "updated": "2018-09-03T17:21:46.000Z" } ], "analyses": { "subjects": [ "47D06", "30H99", "47A63", "47B38" ], "keywords": [ "isometric hilbert space endomorphism semigroups", "cogenerator", "bounded linear hilbert space operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }