  We present preliminary results on the double longitudinal spin asymmetries
A_LL in inclusive jet production and the longitudinal spin transfer asymmetries
D_LL in inclusive Lambda and anti-Lambda hyperon production. The data amount to
about 0.5 pb-1 collected at RHIC in 2003 and 2004 with beam polarizations up to
45 %. The jet A_LL asymmetries, measured over 5 < pT < 17 GeV/c, are consistent
with evaluations based on deep-inelastic scattering parametrizations for the
gluon polarization in the nucleon, and disfavor large positive values of gluon
polarization in the nucleon. The Lambda and anti-Lambda D_LL, measured at
midrapidity and at low average transverse momentum of 1.5 GeV/c, are consistent
with zero within their dominant statistical uncertainties.
