Volume 30, Issue 2
Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups

Commun. Math. Res., 30 (2014), pp. 106-116.

Published online: 2021-05

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• Abstract

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.

• Keywords

bi-continuous $C$-semigroup, probabilistic approximation, generation theorem.

47D05, 47D09

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@Article{CMR-30-106, author = {Dingbang and Cang and and 18821 and and Dingbang Cang and Cang and Chen and and 18822 and and Cang Chen and Xiaoqiu and Song and and 18823 and and Xiaoqiu Song}, title = {Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {2}, pages = {106--116}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.02.02}, url = {http://global-sci.org/intro/article_detail/cmr/18976.html} }
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.

Dingbang Cang, Cang Chen & Xiaoqiu Song. (2021). Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups. Communications in Mathematical Research . 30 (2). 106-116. doi:10.13447/j.1674-5647.2014.02.02
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