We investigate the properties of the one-electron Green's function in
an interacting two-dimensional electron system in a strong magnetic fi
eld, which describes an electron tunneling into such a system. From fi
nite-size diagonalization, we find that its spectral weight is suppres
sed near zero energy, reaches a maximum at an energy of about 0.2e2/ep
silonl(c), and decays exponentially at higher energies. We propose a t
heoretical model to account for the low-energy behavior. For the case
of Coulomb interactions between the electrons, at even-denominator fil
ling factors such as nu = 1/2, we predict that the spectral weight var
ies as e(-omega0/Absolute value of omega), for omega --> 0.