  We study the normal state spectral properties of the fermionic excitations in
the Boson-Fermion model. The fermionic single particle excitations show a
flattening of the dispersion as the Fermi vector ${\bf k}_{_F}$ is approached
from below, forshadowing a Bogoliubov spectrum of a superconducting ground
state. The width of the quasiparticle excitations near ${\bf k}_{_F}$ increases
monotonically as the temperature is lowered. In the fermionic distribution
function this temperature dependence is manifest in a strong modification of
$n({\bf k})$ in a small region below ${\bf k}_{_F}$, but a nearly $T$
independant $n({\bf k}_{_F})$.
