  We give $p$-local homotopy decompositions of the suspensions of real toric
spaces for odd primes $p$. Our decomposition is compatible with the one given
by Bahri, Bendersky, Cohen, and Gitler for the suspension of the corresponding
real moment-angle complex, or more generally, the polyhedral product. As an
application, we obtain a stable rigidity property for real toric spaces.
