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

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...

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Datum:1993
Hauptverfasser: Plaksa, S. A., Плакса, С. А.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5918
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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 $AВ$ .