We present the results of H I line and radio continuum observations of five
nearby E+A galaxies. These galaxies have spectra that are dominated by a y
oung stellar component but lack the emission lines characteristic of signif
icant ongoing star formation. They are selected from a unique sample of 21
E+A's identified by Zabludoff et al. in their spectroscopic search (publish
ed in 1996) for E+A galaxies using the Las Campanas Redshift Survey, in whi
ch over 11,000 nearby galaxies were examined. The five E+A galaxies span a
range of environments: three are in the field, and two are in clusters. Onl
y one system was detected in H I emission, the field E+A galaxy EA 1, with
a total flux of 0.30 +/- 0.02 Jy km s(-1) and an H I mass of 3.5 +/- 0.2 x
10(9) h(-2) M-.. The H I morphology and kinematics of EA 1 suggest a galaxy
-galaxy interaction, with a dynamical age of similar to6 x 10(8) h(-1) yr i
nferred from the H I tail lengths and velocities. This age estimate is cons
istent with the interpretation drawn from optical spectroscopy that starbur
sts in E+A galaxies began (and subsequently ended) within the last 10(9) yr
. Our H I detection limits are such that if the other E+A's in our sample h
ad the H I properties of EA 1, we would have detected (or marginally detect
ed) them. We conclude that E+A galaxies have a range of H I properties. Non
e of the galaxies were detected in radio continuum emission, with upper lim
its to the radio power of similar to 10(21) h(-2) W Hz(-1). Our limits excl
ude the possibility that these E+A's are dust-enshrouded massive starburst
galaxies, but they are insufficient to exclude modest star formation rates
of less than a few h(-2) M-. yr(-1).