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Lw∗wc and Rw∗wc and weak amenability of banach algebras | ||
| Journal of Hyperstructures | ||
| دوره 1، شماره 2، اسفند 2012، صفحه 61-70 اصل مقاله (315.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2012.2548 | ||
| نویسندگان | ||
| K. Haghnejad Azar* ؛ Z. Ranjbar | ||
| Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, P.O. Box 56199-11367, Ardabil, Iran. | ||
| چکیده | ||
| We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property, then if A ∗∗ is weakly amenable, it follows that A is weakly amenable. Let D : A → A ∗ be a surjective derivation. If D 00 is a derivation, then A is Arens regular. | ||
| کلیدواژهها | ||
| Amenability؛ weak amenability؛ Derivation؛ Arens regularity؛ Topological centers؛ Module actions؛ Lef t − weak∗ − to − weak convergence | ||
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آمار تعداد مشاهده مقاله: 102 تعداد دریافت فایل اصل مقاله: 127 |
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