AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| مقاله 1، دوره 3، شماره 2، فروردین 2016، صفحه 97-107 اصل مقاله (141.86 K) | ||
| نوع مقاله: Review Paper | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.610 | ||
| نویسندگان | ||
| Ali Ghaffari1؛ Seyedeh Samaneh Javadi Syahkale* 2 | ||
| 1Department of Mathematics, Semnan University, Semnan, Iran | ||
| 2Faculty of Engineering- East Guilan, University of Guilan, Rudsar, Iran | ||
| چکیده | ||
| The purpose of this article is to develop the notions of amenability for vector valued group algebras. We prove that L1(G, A) is approximately weakly amenable where A is a unital separable Banach algebra. We give necessary and sufficient conditions for the existence of a left invariant mean on L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗). | ||
| کلیدواژهها | ||
| Amenability؛ banach algebras؛ derivation؛ group algebra؛ invariant mean | ||
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آمار تعداد مشاهده مقاله: 1,932 تعداد دریافت فایل اصل مقاله: 1,655 |
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