We present some of the results of a large survey aimed at establishing the
properties of galaxies selected by their having produced detectable Mg~II
, 2803 absorption in the spectra of background QSOs. The
present sample covers the redshift range , with $\langle z
\rangle = 0.65$. From an extensive program of optical and near-IR imaging and
optical spectroscopy, we find that the galaxies appear to be similar to normal
galaxies at the present epoch, ranging from late–type spiral galaxies to those
whose spectra and colors resemble present–day ellipticals. Contrary to some
faint field galaxy samples selected using different criteria, over the redshift
range observed we find no evidence for significant evolution in rest–frame
color, space density, or (rest–frame or ) luminosity. The
average'' Mg~II absorbing galaxy appears to be consistent with a normal 0.7$L_B^{\ast}$ Sb galaxy having a roughly constant star formation rate since $z \sim 1$, although galaxies spanning a range of a factor of $\sim 70$ in luminosity are found in the absorber sample. The diffuse gas cross-section selection imposed by studies of this kind appears to be biased {\it against} the relatively underluminous, blue galaxies which apparently dominate the number counts at faint magnitudes. However, essentially all normal’’ field
galaxies, independent of spectroscopic type, appear to be potential QSO
absorbers.

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