We show that every quasi-multiplier : L¹ (G) L¹ (G) L¹ (G) , where G is a locally compact group, is of the form (f, g) =f g, \ \ \ \ \ f, g L¹ (G), for a unique measure 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 L¹ (G) , is a quasi-multiplier.
Abbas Zivari-Kazempour (Wed,) studied this question.