  We prove that every Banach space, not necessarily separable, can be
isometrically embedded into a $\mathcal L_{\infty}$-space in a way that the
corresponding quotient has the Radon-Nikodym and the Schur properties. As a
consequence, we obtain $\mathcal L_\infty$ spaces of arbitrary large densities
with the Schur and the Radon-Nikodym properties. This extents the a classical
result by J. Bourgain and G. Pisier.
