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...
Збережено в:
| Дата: | 1993 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | 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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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512137170911232 |
|---|---|
| author | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_facet | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_sort | Plaksa, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | 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 $AВ$ . |
| first_indexed | 2026-03-24T03:24:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5918 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:00Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/49/797974033a1c50dc24159196f940f849.pdf |
| spelling | umjimathkievua-article-59182020-03-19T09:20:26Z On the composition of operators in vector spaces and their Noether property О композиции и нетеровости операторов в векторных пространствах Plaksa, S. A. Плакса, С. А. Плакса, С. А. 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 $AВ$ . Одержано умови з мінімальними припущеннями про задані простори, достатні для нормальної розв’язності та нетеровості композиції $BA$ операторів $A$ та $B$, і такого ж типу умови на оператори $B$ та $BA$ , які забезпечують нормальну розв’язність або нетеровість оператора $A$. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5918 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1177–1180 Український математичний журнал; Том 45 № 8 (1993); 1177–1180 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5918/8519 https://umj.imath.kiev.ua/index.php/umj/article/view/5918/8520 Copyright (c) 1993 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. Плакса, С. А. On the composition of operators in vector spaces and their Noether property |
| title | On the composition of operators in vector spaces and their Noether property |
| title_alt | О композиции и нетеровости операторов в векторных пространствах |
| title_full | On the composition of operators in vector spaces and their Noether property |
| title_fullStr | On the composition of operators in vector spaces and their Noether property |
| title_full_unstemmed | On the composition of operators in vector spaces and their Noether property |
| title_short | On the composition of operators in vector spaces and their Noether property |
| title_sort | on the composition of operators in vector spaces and their noether property |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5918 |
| work_keys_str_mv | AT plaksasa onthecompositionofoperatorsinvectorspacesandtheirnoetherproperty AT plaksasa onthecompositionofoperatorsinvectorspacesandtheirnoetherproperty AT plaksasa onthecompositionofoperatorsinvectorspacesandtheirnoetherproperty AT plaksasa okompoziciiineterovostioperatorovvvektornyhprostranstvah AT plaksasa okompoziciiineterovostioperatorovvvektornyhprostranstvah AT plaksasa okompoziciiineterovostioperatorovvvektornyhprostranstvah |