{ "id": "1808.09523", "version": "v1", "published": "2018-08-28T20:14:54.000Z", "updated": "2018-08-28T20:14:54.000Z", "title": "Chernoff Like Counterexamples Related to Unbounded Operators", "authors": [ "Souheyb Dehimi", "Mohammed Hichem Mortad" ], "comment": "04 pages", "categories": [ "math.FA", "math.OA" ], "abstract": "In this paper, we give an example of a closed unbounded operator whose square's domain is trivial. Then, we come up with an essentially self-adjoint whose square has a trivial domain.", "revisions": [ { "version": "v1", "updated": "2018-08-28T20:14:54.000Z" } ], "analyses": { "subjects": [ "47A05" ], "keywords": [ "counterexamples", "trivial domain", "squares domain" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }