Abstract
A representation is obtained for a mixed sum of additive systems with values in a Banach ringX with identity and norm.
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References
T. V. Karataeva, “On a mixed product of evolutionary multiplicative systems without conditions of continuity,”Ukr. Mat. Zh.,39, No. 4, 444–450 (1987).
M. Yu. Kozachenko, “A necessary and sufficient condition of the isomorphism of multiplicative and additive systems without conditions of continuity to within refining partitions,”Ukr. Mat. Zh.,40, No. 5, 576–583 (1988).
T. V. Karataeva, “The homeomorphism of multiplicative and additive semigroups without conditions of continuity,”Ukr. Mat. Zh.,39, No. 3, 309–315 (1987).
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Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 699–707, June, 1994.
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Karataeva, T.V. On the existence of a mixed sum of additive systems. Ukr Math J 46, 756–764 (1994). https://doi.org/10.1007/BF02658177
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DOI: https://doi.org/10.1007/BF02658177