فهرست نشریات علمی دسترسی آزاد ایران

Let $A$ be a Banach ${\star}$-algebra, $X$ be a Banach ${\star}$-$A$-bimodule and $T: A\longrightarrow X$ be a continuous linear map. In this paper, by using orthogonality conditions on $A$, we characterize the map $T$ on certain Banach algebra including $C^{\star}$-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.