{ "id": "1911.07254", "version": "v1", "published": "2019-11-17T15:06:19.000Z", "updated": "2019-11-17T15:06:19.000Z", "title": "Weighted composition operators on Fock spaces and their dynamics", "authors": [ "Tom Carroll", "Clifford Gilmore" ], "categories": [ "math.FA" ], "abstract": "Bounded weighted composition operators, as well as compact weighted composition operators, on Fock spaces have been characterised. This characterisation is refined to the extent that the question of whether weighted composition operators on the Fock space can be supercyclic is answered in the negative.", "revisions": [ { "version": "v1", "updated": "2019-11-17T15:06:19.000Z" } ], "analyses": { "subjects": [ "30H20", "47B33", "47A16", "47B32", "47B38", "47B20" ], "keywords": [ "fock space", "compact weighted composition operators", "bounded weighted composition operators", "characterisation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }