Abstract
Mixed products of multiplicative evolution operator systems with values in a Banach ring R that satisfy the orthogonality condition are studied with the aid of their infinitesimal additive systems.
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M. Yu. Kozachenko, “Necessary and sufficient conditions for isomorphism of multiplicative and additive systems without continuity conditions up to contracting partitions,” Ukr. Mat. Zh.,40, No. 5, 576–583 (1988).
T. V. Karataeva and G. P. Butsan, “On isomorphism of multiplicative and additive parametric semigroups without continuity conditions,” Ukr. Mat. Zh.,37, No. 2, 168–175 (1985).
T. V. Karataeva, “Relations between left and right multiplicative semigroups without continuity conditions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 8–11 (1985).
T. V. Karataeva, “Homeomorphism of multiplicative and additive semigroups without continuity conditions,” Ukr. Mat. Zh.,39, No. 3, 309–315 (1987).
T. V. Karataeva, “On the mixed product of multiplicative evolution systems without continuity conditions,” Ukr. Mat. Zh.,39, No. 4, 444–450 (1987).
H. F. Trotter, “On the product of semigroups of operators,” Proc. Am. Math. Soc,10, No. 4, 545–551 (1959).
G. P. Butsan, “Multiplicative parametric semigroups,” Kibernetika,3, 38–43 (1978).
G. P. Butsan, “A necessary and sufficient condition for the existence of the Stieltjes integral for a function of bounded variation,” Dokl. Akakd. Nauk UkrSSR, Ser. A, No. 12, 3–6 (1984).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 332–340, March, 1990.
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Kozachenko, M.Y. Mixed products of multiplicative systems without discontinuities of the second kind. Ukr Math J 42, 296–302 (1990). https://doi.org/10.1007/BF01057012
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DOI: https://doi.org/10.1007/BF01057012