{ "id": "2309.15261", "version": "v1", "published": "2023-09-26T20:39:03.000Z", "updated": "2023-09-26T20:39:03.000Z", "title": "A reflexive Banach space with an uncomplemented isometric subspace", "authors": [ "Anna Pelczar-Barwacz" ], "comment": "14 pages", "categories": [ "math.FA" ], "abstract": "We construct a reflexive Banach space $X$ with a subspace isometric to $X$, which is not complemented in $X$.", "revisions": [ { "version": "v1", "updated": "2023-09-26T20:39:03.000Z" } ], "analyses": { "subjects": [ "46B04", "46B20", "46B45" ], "keywords": [ "reflexive banach space", "uncomplemented isometric subspace", "subspace isometric" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }