پیوندهای مفید
آمار
| تعداد نشریات | 9 |
| تعداد شمارهها | 451 |
| تعداد مقالات | 5,745 |
| تعداد مشاهده مقاله | 8,158,617 |
| تعداد دریافت فایل اصل مقاله | 6,634,080 |
Quasi-multipliers and quasi Jordan multipliers | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 7، شماره 2، تیر 2026، صفحه 175-181 اصل مقاله (422.63 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23476.1260 | ||
| نویسنده | ||
| Abbas Zivari-Kazempour* | ||
| Department of Mathematics, Faculty of Basic Science, Ayatollah Boroujerdi University, Boroujerd, Iran | ||
| چکیده | ||
| We show that every quasi-multiplier $\phi:L^1(G)\times L^1(G)\longrightarrow L^1(G)$, where $G$ is a locally compact group, is of the form $$\phi(f,g)=f\star \mu\star g,\ \ \ \ \ f,g\in L^1(G),$$ for a unique measure $\mu\in M(G)$. As a consequence, we obtain a well-known result due to Wendel. We also prove the analogues result for $C^*$-algebras. Moreover, we introduce the notion of quasi Jordan multipliers and prove that each such map on a $C^*$-algebra, as well as group algebra $L^1(G)$, is a quasi-multiplier. | ||
| کلیدواژهها | ||
| Quasi multiplier؛ Quasi Jordan multiplier؛ Faithful؛ Group algebra؛ $C^*$-algebra | ||
|
آمار تعداد مشاهده مقاله: 284 تعداد دریافت فایل اصل مقاله: 13 |
||