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

Dingbang Cang, Cang Chen & Xiaoqiu Song

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.

  • AMS Subject Headings

47D05, 47D09

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COPYRIGHT: © Global Science Press

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@Article{CMR-30-106, author = {Cang , DingbangChen , Cang and Song , Xiaoqiu}, 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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