“…is the pre-generator (i.e., it is closable and its closure is the generator) of a positive C 0 -semigroup on C w 0 (X ) that leaves invariant the space C 0 (X ) and whose relevant restriction to C 0 (X ) is a Feller semigroup (i.e., a positive and contractive C 0 -semigroup) on (C w 0 (X ), · ∞ ) (for more details on the theory of C 0 -semigroups we refer, e.g., to [18,16]; as regards C 0 -transition functions and Markov processes we refer to [3,Section 1], [16,20]). …”