TY - JOUR T1 - Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups AU - Cang , Dingbang AU - Chen , Cang AU - Song , Xiaoqiu JO - Communications in Mathematical Research VL - 2 SP - 106 EP - 116 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.02.02 UR - https://global-sci.org/intro/article_detail/cmr/18976.html KW - bi-continuous $C$-semigroup, probabilistic approximation, generation theorem. AB -

By means of Riemann-Stieltjes stochastic process, moment-generating functions and operator-valued mathematical expectation, the problem of probabilistic approximation for bi-continuous $C$-semigroups is studied and the general probabilistic approximation of exponential formulas and the generation theorems are given.