{ "id": "2207.09001", "version": "v1", "published": "2022-07-19T00:55:52.000Z", "updated": "2022-07-19T00:55:52.000Z", "title": "Composition operators on weighted Banach spaces of a tree", "authors": [ "Robert F. Allen", "Matthew A. Pons" ], "journal": "Bull. Malays. Math. Sci. Soc. 41 (2018), no. 4, 1805-1818", "doi": "10.1007/s40840-016-0428-x", "categories": [ "math.FA" ], "abstract": "We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and the essential norm. In addition, we study the isometric composition operators.", "revisions": [ { "version": "v1", "updated": "2022-07-19T00:55:52.000Z" } ], "analyses": { "subjects": [ "47B33", "05C05" ], "keywords": [ "weighted banach spaces", "isometric composition operators", "study composition operators", "infinite tree", "compact operators" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }