  Let $E$ be a complete uniform topological algebra with Arens-Michael normed
factors $\left(E_{\alpha}\right)_{\alpha\in\Lambda}.$ Then $M\left(E\right)
\cong \varprojlim M\left(E_{\alpha}\right)$ within an algebra isomorphism
$\varphi$. If each factor $E_{\alpha}$ is complete, then every multiplier of
$E$ is continuous and $\varphi$ is a topological algebra isomorphism where
$M\left(E\right)$ is endowed with its seminorm topology.
