{ "id": "1912.13068", "version": "v1", "published": "2019-12-30T19:41:39.000Z", "updated": "2019-12-30T19:41:39.000Z", "title": "A simple proof of necessity in the McCullough-Quiggin theorem", "authors": [ "Greg Knese" ], "categories": [ "math.FA", "math.CV" ], "abstract": "A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-definite kernels with the complete Pick property is presented.", "revisions": [ { "version": "v1", "updated": "2019-12-30T19:41:39.000Z" } ], "analyses": { "subjects": [ "46E22", "47A57" ], "keywords": [ "simple proof", "mccullough-quiggin theorem", "complete pick property", "positive semi-definite kernels", "mccullough-quiggin characterization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }