  We calculated the electronic structure of a vortex in a pseudogapped
superconductor within a model featuring strong correlations. With increasing
strength of the correlations, the BCS core states are suppressed and the
spectra in and outside the core become similar. If the correlations are
short-range, we find new core states in agreement with the observations in
YBaCuO and BiSrCaCuO. Our results point to a common phenomenology for these two
systems and indicate that normal-state correlations survive below Tc without
taking part in the overall phase coherence.
