On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras
We consider a class of Banach algebras with irreducible finite-dimensional representations and prove that, for amenable Banach algebras from this class, the weak complete continuity implies the discreteness of their structural space.
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3763 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509896204615680 |
|---|---|
| author | Mustafaev, G. S. Мустафаев, Г. С. Мустафаев, Г. С. |
| author_facet | Mustafaev, G. S. Мустафаев, Г. С. Мустафаев, Г. С. |
| author_sort | Mustafaev, G. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:07:47Z |
| description | We consider a class of Banach algebras with irreducible finite-dimensional representations and prove that, for amenable Banach algebras from this class, the weak complete continuity implies the discreteness of their structural space. |
| first_indexed | 2026-03-24T02:48:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3763 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:23Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6d/5ea5664ca8609004fe4ae18213b2356d.pdf |
| spelling | umjimathkievua-article-37632020-03-18T20:07:47Z On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras О дискретности структурного пространства слабо вполне непрерывных банаховых алгебр Mustafaev, G. S. Мустафаев, Г. С. Мустафаев, Г. С. We consider a class of Banach algebras with irreducible finite-dimensional representations and prove that, for amenable Banach algebras from this class, the weak complete continuity implies the discreteness of their structural space. Розглянуто клас баиахових алгебр із незвідними скіпчепиовимірними зображеннями і доведено, що для аменабельних банахових алгебр із цього класу слабка цілком неперервність зумовлює дискретність їх структурного простору. Institute of Mathematics, NAS of Ukraine 2004-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3763 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 3 (2004); 411-418 Український математичний журнал; Том 56 № 3 (2004); 411-418 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3763/4248 https://umj.imath.kiev.ua/index.php/umj/article/view/3763/4249 Copyright (c) 2004 Mustafaev G. S. |
| spellingShingle | Mustafaev, G. S. Мустафаев, Г. С. Мустафаев, Г. С. On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title | On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title_alt | О дискретности структурного пространства слабо вполне непрерывных банаховых алгебр |
| title_full | On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title_fullStr | On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title_full_unstemmed | On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title_short | On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras |
| title_sort | on the discreteness of the structural space of weakly completely continuous banach algebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3763 |
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