On configurations of subspaces of a Hilbert space with fixed angles between them
We investigate the set of irreducible configurations of subspaces of a Hilbert space for which the angle between every two subspaces is fixed. This is the problem of *-representations of certain algebras generated by idempotents and depending on parameters (on the set of angles). We separate the cla...
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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/3781 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509912795185152 |
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| author | Vlasenko, M. A. Popova, N. D. Власенко, М. А. Попова, Н. Д. Власенко, М. А. Попова, Н. Д. |
| author_facet | Vlasenko, M. A. Popova, N. D. Власенко, М. А. Попова, Н. Д. Власенко, М. А. Попова, Н. Д. |
| author_sort | Vlasenko, M. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:08:43Z |
| description | We investigate the set of irreducible configurations of subspaces of a Hilbert space for which the angle between every two subspaces is fixed. This is the problem of *-representations of certain algebras generated by idempotents and depending on parameters (on the set of angles). We separate the class of problems of finite and tame representation type. For these problems, we indicate conditions on angles under which the configurations of subspaces exist and describe all irreducible representations. |
| first_indexed | 2026-03-24T02:48:39Z |
| format | Article |
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| id | umjimathkievua-article-3781 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:39Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5c/f2db077b99f0374813081018cafe965c.pdf |
| spelling | umjimathkievua-article-37812020-03-18T20:08:43Z On configurations of subspaces of a Hilbert space with fixed angles between them О конфигурациях подпространств гильбертова пространства с фиксированными углами между ними Vlasenko, M. A. Popova, N. D. Власенко, М. А. Попова, Н. Д. Власенко, М. А. Попова, Н. Д. We investigate the set of irreducible configurations of subspaces of a Hilbert space for which the angle between every two subspaces is fixed. This is the problem of *-representations of certain algebras generated by idempotents and depending on parameters (on the set of angles). We separate the class of problems of finite and tame representation type. For these problems, we indicate conditions on angles under which the configurations of subspaces exist and describe all irreducible representations. Досліджуються множина пезвідпих конфігурацій підпросторів гільбергового простору, де кут між кожними двома підпросторами с фіксованим. Це задача про *-зображешш деяких алгебр, породжених ідемпотентами і залежних від параметрів (набору кутів). Виділено клас задач скінченного і ручного зображувального типу, для них вказано умови па кути, за яких конфігурації підпросторів існують, і наведено опис усіх пезвідішх зображень. Institute of Mathematics, NAS of Ukraine 2004-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3781 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 5 (2004); 606–615 Український математичний журнал; Том 56 № 5 (2004); 606–615 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3781/4283 https://umj.imath.kiev.ua/index.php/umj/article/view/3781/4284 Copyright (c) 2004 Vlasenko M. A.; Popova N. D. |
| spellingShingle | Vlasenko, M. A. Popova, N. D. Власенко, М. А. Попова, Н. Д. Власенко, М. А. Попова, Н. Д. On configurations of subspaces of a Hilbert space with fixed angles between them |
| title | On configurations of subspaces of a Hilbert space with fixed angles between them |
| title_alt | О конфигурациях подпространств гильбертова пространства с фиксированными углами между ними |
| title_full | On configurations of subspaces of a Hilbert space with fixed angles between them |
| title_fullStr | On configurations of subspaces of a Hilbert space with fixed angles between them |
| title_full_unstemmed | On configurations of subspaces of a Hilbert space with fixed angles between them |
| title_short | On configurations of subspaces of a Hilbert space with fixed angles between them |
| title_sort | on configurations of subspaces of a hilbert space with fixed angles between them |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3781 |
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