Transition amplitudes for allowed transitions in Be-like ions are determine
d to second order within the framework of relativistic many-body perturbati
on theory. The calculations start with a V(N-2) Dirac-Fock potential and in
clude correlation corrections systematically. Multiconfiguration reference
states are employed to account for the valence-valence correlations within
the valence shell and perturbation theory is applied to systematically impr
ove upon the wave functions. The transition amplitudes obtained in differen
t gauges are in close agreement. The theoretical transition amplitudes agre
e well with experiment for all ions except for the neutral Be atom.