quasi-multipliers and quasi jordan multipliers

L1(g), where g is a locally compact group, is of the form ϕ(f, g) = f ⋆ μ ⋆ g, f, g ∈ l1(g), for a unique measure μ ∈ 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.