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Mixed products of multiplicative systems without discontinuities of the second kind

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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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  1. 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).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. T. V. Karataeva, “Relations between left and right multiplicative semigroups without continuity conditions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 8–11 (1985).

    Google Scholar 

  4. T. V. Karataeva, “Homeomorphism of multiplicative and additive semigroups without continuity conditions,” Ukr. Mat. Zh.,39, No. 3, 309–315 (1987).

    Google Scholar 

  5. T. V. Karataeva, “On the mixed product of multiplicative evolution systems without continuity conditions,” Ukr. Mat. Zh.,39, No. 4, 444–450 (1987).

    Google Scholar 

  6. H. F. Trotter, “On the product of semigroups of operators,” Proc. Am. Math. Soc,10, No. 4, 545–551 (1959).

    Google Scholar 

  7. G. P. Butsan, “Multiplicative parametric semigroups,” Kibernetika,3, 38–43 (1978).

    Google Scholar 

  8. 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).

    Google Scholar 

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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

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