  We study in this paper the non-relativistic limit from Vlasov-Maxwell to
Vlasov-Poisson, which corresponds to the regime where the speed of light is
large compared to the typical velocities of particles. In contrast with
\cite{Asano-Ukai-86-SMA}, \cite{Degond-86-MMAS}, \cite{Schaeffer-86-CMP} which
handle the case of classical solutions, we consider measure-valued solutions,
whose moments and electromagnetic fields are assumed to satisfy some uniform
bounds. To this end, we use a functional inspired by the one introduced by
Loeper in his proof of uniqueness for the Vlasov-Poisson system
\cite{Loeper-2006}. We also build a special class of measure-valued solutions,
that enjoy no higher regularity with respect to the momentum variable, but
whose moments and electromagnetic fields satisfy all required conditions to
enter our framework.
