The longitudinal and transverse spin transfers to $Λ$ ($\overlineΛ$) hyperons in polarized proton-proton collisions are expected to be sensitive to the helicity and transversity distributions, respectively, of (anti-)strange quarks in the proton, and to the corresponding polarized fragmentation functions. We report improved measurements of the longitudinal spin transfer coefficient, $D_{LL}$, and the transverse spin transfer coefficient, $D_{TT}$, to $Λ$ and $\overlineΛ$ in polarized proton-proton collisions at $\…