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....
Gespeichert in:
| Datum: | 2025 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2025
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| _version_ | 1856543200674578432 |
|---|---|
| author | Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy |
| author_facet | Faryma, Dmytro Kimak, Volodymyr Kravtsiv, Viktoriia Zagorodnyuk, Andriy |
| author_sort | Faryma, Dmytro |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-10-27T20:24:52Z |
| 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 \(\mathcal{M}_p.\) |
| first_indexed | 2025-12-02T15:39:51Z |
| format | Article |
| id | admjournalluguniveduua-article-2416 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:39:51Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On block-supersymmetric polynomials on Banach spaces |
| title_sort | on block-supersymmetric polynomials on banach spaces |
| topic | symmetric polynomials on Banach spaces supersymmetric polynomials block-supersymmetric polynomials symmetric analytic functions 46G25 46H10 |
| topic_facet | symmetric polynomials on Banach spaces supersymmetric polynomials block-supersymmetric polynomials symmetric analytic functions 46G25 46H10 |
| 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 |