{ "id": "1207.4511", "version": "v1", "published": "2012-07-18T22:19:29.000Z", "updated": "2012-07-18T22:19:29.000Z", "title": "Solved and unsolved problems in generalized notions of amenability for Banach algebras", "authors": [ "Yong Zhang" ], "comment": "13 pages", "journal": "Banach Center Publ. 91 (2010), 441-454", "categories": [ "math.FA" ], "abstract": "We survey the recent investigations on (bounded, sequential) approximate amenability/contractibility and pseudo-amenability/contractibility for Banach algebras. We will discuss the core problems concerning these notions and address the significance of any solutions to them to the development of the field. A few new results are also included.", "revisions": [ { "version": "v1", "updated": "2012-07-18T22:19:29.000Z" } ], "analyses": { "subjects": [ "46H20", "43A20", "I.7.2" ], "keywords": [ "banach algebras", "generalized notions", "unsolved problems", "approximate amenability/contractibility", "sequential" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.4511Z" } } }