  The results of an extensive study of B-meson properties in quenched lattice
QCD are presented. The studies are carried out in the static quark limit where
the b-quark is taken to be infinitely massive. Our computations rely on a
multistate smearing method introduced previously, with smearing functions
generated from a relativistic lattice quark model. Systematic errors arising
from excited state contamination, finite volume effects, and the chiral
extrapolation for the light quarks are estimated. We obtain continuum results
for the mass splitting M_{B_s}- M_{B_u} = 86 (+/-)12(stat) {+7/-9}(syst) MeV,
the ratio of decay constants f_{B_s}/f_{B_u} = 1.22 (+/-)0.04(stat) (+/-)0.02
(syst). For the B-meson decay constant we separately exhibit the sizable
uncertainties in the extrapolation to the continuum limit a -> 0 and higher
order perturbative matching. We obtain f_{B} = 188 (+/-)23(stat) (+/-)15(syst)
{+26/-0}(extrap) (+/-)14 (pert) MeV. ----- [Postscript version of paper
available by anonymous ftp at fncrd6.fnal.gov. The file is fb.ps in
subdirectory theory.]
