The performance of the subspace density functional theory
in its local density approximation is investigated by
applications to the excitation energies of small molecules. The
different schemes, concerning the choice of finite basis sets,
for treating in a balanced way the ground and excited state
calculations, are discussed. Unlike the conventional atom
centred basis sets, we used off centred basis sets whose
parameters were determined by invoking the minimum principle for
the subspace energy. For the molecules under consideration
(H2, HeH and LiH) such basis sets consisting only of s-type
Gaussians, optimized for each subspace energy, were found to
provide a reasonable agreement of the excitation energies
computed with those obtained by the configuration interaction
methods with extended basis sets.