فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we investigate derivations on the Banach algebra $L_{0}^{\infty}(S;M_a(S))^*$ for certain class of topological semigroup. We show that any derivation on $L_{0}^{\infty}(S;M_a(S))^*$ maps it into its radical and a derivation on $L_{0}^{\infty}(S;M_a(S))^*$ is continuous if and only if its restriction to the right annihilator of $L_{0}^{\infty}(S;M_a(S))^*$ is continuous. Finally, we prove that the zero map is the only centralizing derivation on $L_{0}^{\infty}(S;M_a(S))^*$.