{ "id": "2210.13808", "version": "v1", "published": "2022-10-25T07:30:14.000Z", "updated": "2022-10-25T07:30:14.000Z", "title": "Duals of Continuous frames in Hilbert C*-modules", "authors": [ "Hadi Ghasemi", "Tayebe Lal Shateri" ], "comment": "arXiv admin note: text overlap with arXiv:2208.14012, arXiv:2208.06799", "categories": [ "math.FA" ], "abstract": "In the present paper, we investigate some properties of duals of continuous frames in Hilbert C*-modules. In particular, we give requirements so that by removing some elements of a continuous frame, it does not remain a continuous frame and when the remaining set still remains a continuous frame.", "revisions": [ { "version": "v1", "updated": "2022-10-25T07:30:14.000Z" } ], "analyses": { "subjects": [ "42C15", "06D22" ], "keywords": [ "continuous frame", "properties", "requirements" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }