{ "id": "1811.02011", "version": "v1", "published": "2018-11-05T20:01:51.000Z", "updated": "2018-11-05T20:01:51.000Z", "title": "On octahedraliy and Müntz spaces", "authors": [ "André Martiny" ], "comment": "6 pages", "categories": [ "math.FA" ], "abstract": "We show that every M\\\"untz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no M\\\"untz space is locally octahedral or almost square.", "revisions": [ { "version": "v1", "updated": "2018-11-05T20:01:51.000Z" } ], "analyses": { "subjects": [ "46E15", "46B04", "46B20" ], "keywords": [ "müntz spaces", "octahedraliy", "finite dimensional", "banach spaces" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }