  We have applied the Popov version of the Hartree-Fock-Bogoliubov (HFB)
approximation to calculate the finite-temperature excitation spectrum of a
Bose-Einstein condensate (BEC) of $^{87}$Rb atoms. For lower values of the
temperature, we find excellent agreement with recently-published experimental
data for the JILA TOP trap. In contrast to recent comparison of the results of
HFB--Popov theory with experimental condensate fractions and specific heats,
there is disagreement of the theoretical and recent experimental results near
the BEC phase transition temperature.
