2019
Том 71
№ 11

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

Plaksa S. A.

Abstract

Under the minimal assumptions imposed on given spaces, the sufficient conditions are established, under which the composition $BA$ of operators $A$ and $B$ has the Noether property and is normally solvable. Similar conditions, guaranteeing that the operator $A$ is normally solvable or possesses the Noether property, are obtained for the operators $B$ and $AВ$ .

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1316-1320.

Citation Example: Plaksa S. A. On the composition of operators in vector spaces and their Noether property // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1177–1180.

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