  In this note we show that, if $\mcB$ is separable Banach space, then there is
a biorthogonal system $\{x_n, x_n^*\}$ such that, the closed linear span of
$\{x_n\},\bar{\left\langle {\{x_n\}}\right\rangle}=\mcB$ and $\left\| {x_n}
\right\|\left\| {x_n^*} \right\| = 1$ for all $n$.
