On One Class of Matrix Topological *-Algebras
We study a matrix algebra M n(U), where U is a commutative topological nuclear entire (bounded, analytic) *-algebra. We prove that M n(U) is also a topological nuclear entire (bounded, analytic) *-algebra.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4363 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510492837019648 |
|---|---|
| author | Tishchenko, S. V. Тищенко, С. В. Тищенко, С. В. |
| author_facet | Tishchenko, S. V. Тищенко, С. В. Тищенко, С. В. |
| author_sort | Tishchenko, S. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:27:17Z |
| description | We study a matrix algebra M n(U), where U is a commutative topological nuclear entire (bounded, analytic) *-algebra. We prove that M n(U) is also a topological nuclear entire (bounded, analytic) *-algebra. |
| first_indexed | 2026-03-24T02:57:52Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4363 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:52Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/27/8060fc1b5ad82c131b9d804ed49cfd27.pdf |
| spelling | umjimathkievua-article-43632020-03-18T20:27:17Z On One Class of Matrix Topological *-Algebras О некотором классе матричных топологических *-алгебр Tishchenko, S. V. Тищенко, С. В. Тищенко, С. В. We study a matrix algebra M n(U), where U is a commutative topological nuclear entire (bounded, analytic) *-algebra. We prove that M n(U) is also a topological nuclear entire (bounded, analytic) *-algebra. Вивчається алгебра матриць $ M_n(U)$, де $U$— комутативна топологічна ядерна ціла (обмежена, аналітична) *-алгебра. Доводиться, що $ M_n(U)$ також буде топологічною ядерною цілою (обмеженою, аналітичною) *-алгеброю. Institute of Mathematics, NAS of Ukraine 2001-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4363 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 10 (2001); 1436-1439 Український математичний журнал; Том 53 № 10 (2001); 1436-1439 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4363/5430 https://umj.imath.kiev.ua/index.php/umj/article/view/4363/5431 Copyright (c) 2001 Tishchenko S. V. |
| spellingShingle | Tishchenko, S. V. Тищенко, С. В. Тищенко, С. В. On One Class of Matrix Topological *-Algebras |
| title | On One Class of Matrix Topological *-Algebras |
| title_alt | О некотором классе матричных топологических *-алгебр |
| title_full | On One Class of Matrix Topological *-Algebras |
| title_fullStr | On One Class of Matrix Topological *-Algebras |
| title_full_unstemmed | On One Class of Matrix Topological *-Algebras |
| title_short | On One Class of Matrix Topological *-Algebras |
| title_sort | on one class of matrix topological *-algebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4363 |
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