Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 7 2 2026 04 01 Quasi-multipliers and quasi Jordan multipliers 175 181 5632 10.22060/ajmc.2025.23476.1260 EN Abbas Zivari-Kazempour Department of Mathematics, Faculty of Basic Science, Ayatollah Boroujerdi University, Boroujerd, Iran Journal Article 2024 09 23 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. https://ajmc.aut.ac.ir/article_5632_a2232b5b6b17429cdff8ddc2f14ea8c9.pdf