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摘要
Let U subset of K be an open and dense subset of a compact metric space such that partial derivative U not equal phi. Let Phi be a Markov operator with the strong Feller property acting on the space of bounded Borel measurable functions on U. Suppose that for each x is an element of partial derivative U there exists a barrier h is an element of C(K) at x such that Phi(h) >= h. Suppose moreover that every real-valued g is an element of C(K) with Phi(g) >= g and which attains its global maximum at a point inside U is constant. Then for each f is an element of C(K) there exists the uniform limit F = lim(n ->infinity)Phi(n)(f). Moreover F is an element of C(K) agrees with f on partial derivative U and Phi(F) = F.
- 出版日期2013
