  We calculate the inclusive production of a polarized $\Lambda$ or
$\bar{\Lambda}$ hyperon from the single longitudinally polarized proton and
proton ($pp$) collision at RHIC. By comparing the data reported by the STAR
Collaboration, we find that this process is sensitive to the polarization of
strange and antistrange quarks of the proton in the experimental range. By
introducing asymmetric coefficients with the minimization of $\chi^2$, we
further identify the asymmetry of the polarized strange-antistrange quarks in
the proton sea and find that the first moment is $\Delta s \approx -0.025\pm
0.019$ for strange quark and $\Delta\bar s \approx -0.001\pm 0.012$ for
antistrange quark, with central values agreeing with the light-cone
meson-baryon fluctuation model prediction, the recent lattice QCD determination
of strangeness polarization and results from a global QCD analysis given by the
Jefferson Lab Angular Momentum (JAM) Collaboration.
