{ "id": "1908.10348", "version": "v1", "published": "2019-08-27T17:37:31.000Z", "updated": "2019-08-27T17:37:31.000Z", "title": "Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces", "authors": [ "Andre Ostrak" ], "comment": "11 pages, 2 figures", "categories": [ "math.FA" ], "abstract": "We give a characterisation of the weak* symmetric strong diameter 2 property for Lipschitz function spaces in terms of a property of the corresponding metric space. Using this characterisation we show that the weak* symmetric strong diameter 2 property is different from the weak* strong diameter 2 property in Lipschitz spaces, thereby answering a question posed in a recent paper by Haller, Langemets, Lima, and Nadel.", "revisions": [ { "version": "v1", "updated": "2019-08-27T17:37:31.000Z" } ], "analyses": { "subjects": [ "46B04", "46B20" ], "keywords": [ "weak-star symmetric strong diameter", "lipschitz spaces", "characterisation", "lipschitz function spaces", "corresponding metric space" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }