{ "id": "2111.09835", "version": "v1", "published": "2021-10-11T11:46:02.000Z", "updated": "2021-10-11T11:46:02.000Z", "title": "$\\ast$-Operator frame for $Hom_{\\mathcal{A}}^{\\ast}(\\mathcal{X})$", "authors": [ "Roumaissae Eljazzar", "Mohamed Rossafi" ], "comment": "arXiv admin note: text overlap with arXiv:1806.03993", "categories": [ "math.FA" ], "abstract": "In this Work, We introduce the concept of $\\ast$-operator frame, which is a generalization of $\\ast$-frames in Hilbert pro-$C^{\\ast}$-modules, and we establish some results, we also study the tensor product of $\\ast$-operator frame for Hilbert pro-$C^{\\ast}$-modules.", "revisions": [ { "version": "v1", "updated": "2021-10-11T11:46:02.000Z" } ], "analyses": { "subjects": [ "42C15", "46L05" ], "keywords": [ "operator frame", "tensor product", "generalization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }