On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these...
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3995 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510127069593600 |
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| author | Popovich, S. V. Samoilenko, Yu. S. Попович, С. В. Самойленко, Ю. С. Попович, С. В. Самойленко, Ю. С. |
| author_facet | Popovich, S. V. Samoilenko, Yu. S. Попович, С. В. Самойленко, Ю. С. Попович, С. В. Самойленко, Ю. С. |
| author_sort | Popovich, S. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these functors and present their applications. |
| first_indexed | 2026-03-24T02:52:03Z |
| format | Article |
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| id | umjimathkievua-article-3995 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:03Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/47/a4fd2631861fa3b5270380681e668b47.pdf |
| spelling | umjimathkievua-article-39952020-03-18T20:18:03Z On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors О гомоморфизмах алгебр, порожденных проекторами, и функторах Кокстер Popovich, S. V. Samoilenko, Yu. S. Попович, С. В. Самойленко, Ю. С. Попович, С. В. Самойленко, Ю. С. We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these functors and present their applications. Розглянуто алгебри, породжені ідемпотеитами в банахових просторах та ортопроекторами у гільбертових просторах з сумою, кратною одиниці. Побудовано кілька функторів між категоріями зображень, що породжені гомоморфізмами згаданих алгебр, та вивчено їх властивості. Наведено застосування. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3995 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1224-1237 Український математичний журнал; Том 55 № 9 (2003); 1224-1237 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3995/4702 https://umj.imath.kiev.ua/index.php/umj/article/view/3995/4703 Copyright (c) 2003 Popovich S. V.; Samoilenko Yu. S. |
| spellingShingle | Popovich, S. V. Samoilenko, Yu. S. Попович, С. В. Самойленко, Ю. С. Попович, С. В. Самойленко, Ю. С. On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title | On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title_alt | О гомоморфизмах алгебр, порожденных проекторами, и функторах Кокстер |
| title_full | On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title_fullStr | On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title_full_unstemmed | On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title_short | On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors |
| title_sort | on homomorphisms of algebras generated by projectors and coxeter functors |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3995 |
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