Before revision:  As an application , we prove uniqueness of the Hansen and Scheinkman (2009) factorization of the Markovian pricing kernel under the assumption of recurrence, and, as a special case, we extend the Recovery Theorem of Ross (2013) from discrete time, finite state irreducible Markov chains to recurrent Borel right processes.
After revision:  As economic applications , we prove uniqueness of the Hansen and Scheinkman (2009) factorization of the Markovian pricing kernel under the assumption of recurrence, and, as a special case, we extend the Recovery Theorem of Ross (2013) from discrete time, finite state irreducible Markov chains to recurrent Borel right processes.