摘要
Suppose that E is a Lusin topological space. We let (?)(E) denote the σ-algebra on E generated by all open sets, which is referred to as the Borel σ-algebra on E. B(E) denotes the set of all bounded (?)(E)-measurable functions on E and B(E)^+ denotes the subspace of B(E) comprising non-negative elements. Let M(E) be the totality of finite measures on (E, (?)(E)). Topologize M(E) by the weak convergence topology, so it also becomes a