算子半群的逼近及其在参数连续马尔科夫链中的应用

摘要

在Banach空间中, 根据生成元得出了算子半群逼近的一个充要条件. 同时, 把算子半群的逼近理论运用到马尔科夫链, 讨论了转移函数的逼近, 推广了一些已知结果.%In a Banach space, a sufficient and necessary condition on the approximation of C0 semigroup is presented in terms of its generator. For the application to Continuous-Time Markov Chains, we discuss the approximation of transition function. Some well-known results are generalized.