{ "id": "0902.2351", "version": "v1", "published": "2009-02-13T17:18:46.000Z", "updated": "2009-02-13T17:18:46.000Z", "title": "Constructions preserving $n$-weak amenability of Banach algebras", "authors": [ "A. Jabbari", "M. S. Moslehian", "H. R. E. Vishki" ], "comment": "To appear in Math. Bohem", "categories": [ "math.FA" ], "abstract": "A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.", "revisions": [ { "version": "v1", "updated": "2009-02-13T17:18:46.000Z" } ], "analyses": { "subjects": [ "46H20", "46H25" ], "keywords": [ "weak amenability", "banach algebras", "constructions preserving", "right inverse", "surjective bounded homomorphism fails" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0902.2351J" } } }