{ "id": "1808.00859", "version": "v1", "published": "2018-08-02T15:33:44.000Z", "updated": "2018-08-02T15:33:44.000Z", "title": "Pełczyński space is isomorphic to the Lipschitz free space over a compact set", "authors": [ "Luis C. García-Lirola", "Antonín Procházka" ], "categories": [ "math.FA" ], "abstract": "We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compact set.", "revisions": [ { "version": "v1", "updated": "2018-08-02T15:33:44.000Z" } ], "analyses": { "subjects": [ "46B03" ], "keywords": [ "lipschitz free space", "compact set", "pełczyński space", "isomorphic", "infinite-dimensional banach space" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }