  New observations of 16 dwarf elliptical galaxies in the Virgo Cluster
indicate that at least seven dEs have significant velocity gradients along
their optical major axis, with typical rotation amplitudes of 20-30 km/s. Of
the remaining nine galaxies in this sample, 6 have velocity gradients less than
20 km/s kpc^{-1} while the other 3 observations had too low of a
signal--to--noise ratio to determine an accurate velocity gradient. Typical
velocity dispersions for these galaxies are ~44 +/- 5 km/s, indicating that
rotation can be a significant component of the stellar dynamics of Virgo dEs.
When corrected for the limited spatial extent of the spectral data, the
rotation amplitudes of the rotating dEs are comparable to those of similar
brightness dIs. Evidence for a relationship between the rotation amplitude and
galaxy luminosity is found, and, in fact, agrees well with the Tully-Fisher
relation. The similarity in the scaling relations of dIs and dEs implies that
it is unlikely that dEs evolve from significantly more luminous galaxies. These
observations reaffirm the possibility that some cluster dwarf elliptical
galaxies may be formed when the neutral gaseous medium is stripped from dwarf
irregular galaxies in the cluster environment. We hypothesize that several
different mechanisms are involved in the creation of the overall population of
dE galaxies, and that stripping of infalling dIs may be the dominant process in
the creation of dEs in clusters like Virgo.
