characterization of multipliers on ⋆-algebras acting onorthogonal elements

Let a be a banach ⋆-algebra, x be a banach ⋆-a-bimodule and t : a −→ x be a continuous linear map. in this paper, by using orthogonality conditions on a, we characterize the map t on certain banach algebra including c ⋆ -algebras, group algebras, standard operator algebras and banach algebras that is generated by idempotents. we also characterize a continuous linear map from zero jordan product determined banach algebra a into a banach a-bimodule x, and give some applications of this result.