We know that $A$ embeds into $A$** (the double dual space of $A$ ). Is the following true? If $\Psi$ is in $A$** and weak* continuous, is there an element $a \in A$ such that $ \Psi$ is the evaluation functional at $a$? That is to say, $\Psi(f)=f(a)$ for any $ f \in A^{*}$?