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Extensions of Trotter’s operator semigroup approximation theorems. (English) Zbl 0174.18401


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[1] Dynkin, E. B., (Markov Processes, Vol. I (1965), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0132.37901
[2] Hasegawa, M., A note on the convergence of semigroups of operators, (Proc. Japan Acad., 40 (1964)), 262-266 · Zbl 0207.45202
[3] Kurtz, Thomas G., Convergence of operator semigroups with applications to Markov processes, Stanford Dissertation (1967)
[4] Pinsky, Mark A., Differential equations with a small parameter and the central limit theorem for functions defined on a finite Markov chain, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 9, 101-111 (1968) · Zbl 0155.24203
[5] Skorokhod, A. V., Limit theorems for stochastic processes, Theory of Probability and Its Applications, 1, 261-290 (1956) · Zbl 0074.33802
[6] Trotter, H. F., Approximation of semigroups of operators, Pac. J. Math., 8, 887-919 (1958) · Zbl 0099.10302
[7] Trotter, H. F., An elementary proof of the central limit theorem, Ach. Math., 10, 226-234 (1959) · Zbl 0086.34002
[8] Yosida, Kosaku, Functional Analysis (1965), Springer-Verlag: Springer-Verlag Berlin · Zbl 0830.46001
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