Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups
DOI:
https://doi.org/10.13447/j.1674-5647.2014.02.02Keywords:
bi-continuous $C$-semigroup, probabilistic approximation, generation theorem.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.
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2021-05-17
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Approximation Theoretic Aspects of Probabilistic Representations for Bi-Continuous $C$-Semigroups. (2021). Communications in Mathematical Research, 30(2), 106-116. https://doi.org/10.13447/j.1674-5647.2014.02.02