Weak lensing by large-scale structure provides a unique method to directly
measure matter fluctuations in the universe and has recently been detected
from the ground. Here we report the first detection of this "cosmic shear"
based on space-based images. The detection was derived from the Hubble Spac
e Telescope (HST) Survey Strip (or "Groth Strip"), a 4' x 42' set of 28 con
tiguous Wide Field Planetary Camera 2 (WFPC2) pointings with I < 27. The sm
all size of the HST point-spread function affords both a lower statistical
noise and a much weaker sensitivity to systematic effects, a crucial limiti
ng factor of cosmic shear measurements. Our method and treatment of systema
tic effects were discussed in an earlier paper. We measure an rms shear of
1.8% on the WFPC2 chip scale (1.'27), in agreement with the predictions of
cluster-normalized cold dark matter (CDM) models. Using a maximum likelihoo
d analysis, we show that our detection is significant at the 99.5% confiden
ce level (CL) and measure the normalization of the matter power spectrum to
be <sigma>(8)Ohm (0.48)(m) = 0.51(-0.17)(+0.14), in a Lambda CDM universe.
These 68% CL errors include (Gaussian) cosmic variance, systematic effects
, and the uncertainty in the redshift distribution of the background galaxi
es. The signal comes primarily from the chip scale (1.'27) with gradually d
ecreasing contributions up to roughly 10'. Our result is consistent with ea
rlier lensing measurements from the ground and with the normalization deriv
ed from cluster abundance. We discuss how our measurement can be improved w
ith the analysis of a large number of independent WFPC2 fields.