{ "id": "1204.6399", "version": "v1", "published": "2012-04-28T11:37:13.000Z", "updated": "2012-04-28T11:37:13.000Z", "title": "On the generalized resolvents of isometric operators with gaps", "authors": [ "Sergey M. Zagorodnyuk" ], "comment": "38 pages", "categories": [ "math.FA" ], "abstract": "In this paper we obtain some slight correction and generalization of the results of Ryabtseva on the generalized resolvents for isometric operators with a gap in their spectrum. Also, analogs of some McKelvey's results and a short proof of Inin's formula for the generalized resolvents of an isometric operator are obtained.", "revisions": [ { "version": "v1", "updated": "2012-04-28T11:37:13.000Z" } ], "analyses": { "subjects": [ "47A20" ], "keywords": [ "isometric operator", "generalized resolvents", "mckelveys results", "slight correction", "short proof" ], "note": { "typesetting": "TeX", "pages": 38, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1204.6399Z" } } }