  The density matrix renormalization group method is used to examine
possibilities of electronic ferroelectricity in the spinless Falicov-Kimball
model. The model is studied for a wide range of parameters including weak and
strong interactions as well as the symmetric and unsymmetric case. In all
examined cases the $<d^{+}f>$-expectation value vanishes for vanishing
hybridization $V$, indicating that the spinless Falicov-Kimball model does not
allow for a ferroelectric ground state with a spontaneous polarization.
