{ "id": "1003.3382", "version": "v1", "published": "2010-03-17T14:41:58.000Z", "updated": "2010-03-17T14:41:58.000Z", "title": "Arens Regularity And The Topological Centers Of Module Actions", "authors": [ "Kazem Haghnejad Azar", "Abdolhamid Riazi" ], "categories": [ "math.FA" ], "abstract": "In this article, for Banach left and right module actions, we will extend some propositions from Lau and $\\ddot{U}lger$ into general situations and we establish the relationships between topological centers of module actions. We also introduce the new concepts as $Lw^*w$-property and $Rw^*w$-property for Banach $A-bimodule$ $B$ and we investigate the relations between them and topological center of module actions. We have some applications in dual groups.", "revisions": [ { "version": "v1", "updated": "2010-03-17T14:41:58.000Z" } ], "analyses": { "subjects": [ "46L06", "46L07", "46L10", "47L25" ], "keywords": [ "topological center", "arens regularity", "right module actions", "banach left", "general situations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.3382H" } } }