{ "id": "1608.05986", "version": "v1", "published": "2016-08-21T19:13:59.000Z", "updated": "2016-08-21T19:13:59.000Z", "title": "More on the Arens regularity of B(X)", "authors": [ "Ramin Faal", "Hamid Reza Ebrahimi Vishki" ], "comment": "7 pages, Bull. Aust. Math. Soc (2016)", "doi": "10.1017/S0004972715001835", "categories": [ "math.FA", "math.OA" ], "abstract": "We focus on a question raised by Daws [Arens regularity of the algebra of operators on a Banach space, Bull. Lond. Math. Soc. 36 (2004), 493-503] concerning the Arens regularity of B(X), the algebra of operators on a Banach space X. Among other things, we show that B(X) is Arens regular if and only if X is ultrareflexive .", "revisions": [ { "version": "v1", "updated": "2016-08-21T19:13:59.000Z" } ], "analyses": { "subjects": [ "47L10", "47L50", "46H25" ], "keywords": [ "arens regularity", "banach space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }