On block-supersymmetric polynomials on Banach spaces
We investigate algebras of block-supersymmetric polynomials on an infinite-dimensional Banach space \(\ell_p(\mathbb{C}^s)\) of absolutely \(p\)-convergent sequences of vectors in \(\mathbb{C}^s,\) and ring structures on the set \(\mathcal{M}_p\) of point evaluation homomorphisms of these algebras....
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| Дата: | 2025 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2025
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-24162025-10-27T20:24:52Z On block-supersymmetric polynomials on Banach spaces Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy symmetric polynomials on Banach spaces, supersymmetric polynomials, block-supersymmetric polynomials, symmetric analytic functions 46G25, 46H10 We investigate algebras of block-supersymmetric polynomials on an infinite-dimensional Banach space \(\ell_p(\mathbb{C}^s)\) of absolutely \(p\)-convergent sequences of vectors in \(\mathbb{C}^s,\) and ring structures on the set \(\mathcal{M}_p\) of point evaluation homomorphisms of these algebras. In particular, we establish some necessary and sufficient conditions for a polynomial to be block-supersymmetric. Also, we describe complex ring homomorphisms of \(\mathcal{M}_p.\) Lugansk National Taras Shevchenko University 2025-10-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416 10.12958/adm2416 Algebra and Discrete Mathematics; Vol 40, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2416/1332 Copyright (c) 2025 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2025-10-27T20:24:52Z |
| collection |
OJS |
| language |
English |
| topic |
symmetric polynomials on Banach spaces supersymmetric polynomials block-supersymmetric polynomials symmetric analytic functions 46G25 46H10 |
| spellingShingle |
symmetric polynomials on Banach spaces supersymmetric polynomials block-supersymmetric polynomials symmetric analytic functions 46G25 46H10 Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy On block-supersymmetric polynomials on Banach spaces |
| topic_facet |
symmetric polynomials on Banach spaces supersymmetric polynomials block-supersymmetric polynomials symmetric analytic functions 46G25 46H10 |
| format |
Article |
| author |
Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy |
| author_facet |
Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy |
| author_sort |
Faryma, Dmytro |
| title |
On block-supersymmetric polynomials on Banach spaces |
| title_short |
On block-supersymmetric polynomials on Banach spaces |
| title_full |
On block-supersymmetric polynomials on Banach spaces |
| title_fullStr |
On block-supersymmetric polynomials on Banach spaces |
| title_full_unstemmed |
On block-supersymmetric polynomials on Banach spaces |
| title_sort |
on block-supersymmetric polynomials on banach spaces |
| description |
We investigate algebras of block-supersymmetric polynomials on an infinite-dimensional Banach space \(\ell_p(\mathbb{C}^s)\) of absolutely \(p\)-convergent sequences of vectors in \(\mathbb{C}^s,\) and ring structures on the set \(\mathcal{M}_p\) of point evaluation homomorphisms of these algebras. In particular, we establish some necessary and sufficient conditions for a polynomial to be block-supersymmetric. Also, we describe complex ring homomorphisms of \(\mathcal{M}_p.\) |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2025 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416 |
| work_keys_str_mv |
AT farymadmytro onblocksupersymmetricpolynomialsonbanachspaces AT kimakvolodymyr onblocksupersymmetricpolynomialsonbanachspaces AT kravtsivviktoriia onblocksupersymmetricpolynomialsonbanachspaces AT zagorodnyukandriy onblocksupersymmetricpolynomialsonbanachspaces |
| first_indexed |
2025-10-26T02:08:38Z |
| last_indexed |
2025-10-28T02:44:44Z |
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1849545202591596544 |