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Quasi-multipliers and quasi Jordan multipliers | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 دی 1403 | ||
| 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 | ||
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آمار تعداد مشاهده مقاله: 34 |
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