  We introduce a noncommutative analogue of the Fig\'a-Talamanca-Herz algebra
$A_p(G)$ on the natural predual of the operator space $\frak{M}_{p,cb}$ of
completely bounded Schur multipliers on Schatten space $S_p$. We determine the
isometric Schur multipliers and prove that the space $\frak{M}_{p}$ of bounded
Schur multipliers on Schatten space $S_p$ is the closure in the weak operator
topology of the span of isometric multipliers.
