Singular locally scalar representations of quivers in Hilbert spaces and separating functions
We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role...
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| Date: | 2004 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3799 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509932105760768 |
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| author | Redchuk, I. K. Roiter, A. V. Редчук, И. К. Ройтер, А. В. Редчук, И. К. Ройтер, А. В. |
| author_facet | Redchuk, I. K. Roiter, A. V. Редчук, И. К. Ройтер, А. В. Редчук, И. К. Ройтер, А. В. |
| author_sort | Redchuk, I. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:09:24Z |
| description | We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role in a broader class of graphs. |
| first_indexed | 2026-03-24T02:48:57Z |
| format | Article |
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| id | umjimathkievua-article-3799 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:57Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/60738a4b583ac969c31a3161638b9830.pdf |
| spelling | umjimathkievua-article-37992020-03-18T20:09:24Z Singular locally scalar representations of quivers in Hilbert spaces and separating functions Сингулярные локально-скалярные представления колчанов в гильбертовых пространствах и разделяющие функции Redchuk, I. K. Roiter, A. V. Редчук, И. К. Ройтер, А. В. Редчук, И. К. Ройтер, А. В. We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role in a broader class of graphs. Розглядагаться локально-скалярні зображення розширених графів Дипкіна у гільбертових просторах. Встаповлено зв'язок цих зображень iз функцією ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) та побудовано сім'ю відокремлюючих числових функцій, які узагальнюють функцию ρ та відіграють аналогічну роль для більш широкого класу графів. Institute of Mathematics, NAS of Ukraine 2004-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3799 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 6 (2004); 796–809 Український математичний журнал; Том 56 № 6 (2004); 796–809 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3799/4318 https://umj.imath.kiev.ua/index.php/umj/article/view/3799/4319 Copyright (c) 2004 Redchuk I. K.; Roiter A. V. |
| spellingShingle | Redchuk, I. K. Roiter, A. V. Редчук, И. К. Ройтер, А. В. Редчук, И. К. Ройтер, А. В. Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title | Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title_alt | Сингулярные локально-скалярные представления колчанов в гильбертовых пространствах и разделяющие функции |
| title_full | Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title_fullStr | Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title_full_unstemmed | Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title_short | Singular locally scalar representations of quivers in Hilbert spaces and separating functions |
| title_sort | singular locally scalar representations of quivers in hilbert spaces and separating functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3799 |
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