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On the composition of operators in vector spaces and their Noether property

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Abstract

Under the minimal assumptions imposed on given spaces, the sufficient conditions are established, under which the compositionBA of operatorsA andB has the Noether property and is normally solvable. Similar conditions, guaranteeing that the operatorA is normally solvable or possesses the Noether property, are obtained for the operatorsB andBA.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. A. Plaksa

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  1. S. A. Plaksa
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1177–1180, August, 1993.

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Plaksa, S.A. On the composition of operators in vector spaces and their Noether property. Ukr Math J 45, 1316–1320 (1993). https://doi.org/10.1007/BF01070982

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  • DOI: https://doi.org/10.1007/BF01070982

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