Multiplicative polynomial mappings on commutative Banach algebras
We consider the multiplicative polynomial mappings on commutative algebras in this work. We call a multiplicative polynomial trivial, if it can be represented as a product of characters. In the paper we investigate the following question: does there exists a nontrivial multiplicative polynomial func...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2012-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/2273 |
| _version_ | 1828765652899332096 |
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| author | O.V Labachuk A.V. Zagorodnyuk |
| author_facet | O.V Labachuk A.V. Zagorodnyuk |
| author_sort | O.V Labachuk |
| collection | DOAJ |
| description | We consider the multiplicative polynomial mappings on commutative algebras in this work. We call a multiplicative polynomial trivial, if it can be represented as a product of characters. In the paper we investigate the following question: does there exists a nontrivial multiplicative polynomial functional on a commutative algebra? |
| first_indexed | 2024-12-11T06:52:02Z |
| format | Article |
| id | doaj.art-d079f47515594943bb48df1f052baad7 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-11T06:52:02Z |
| publishDate | 2012-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-d079f47515594943bb48df1f052baad72022-12-22T01:16:53ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102012-12-01422842882273Multiplicative polynomial mappings on commutative Banach algebrasO.V Labachuk0A.V. Zagorodnyuk1Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineVasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineWe consider the multiplicative polynomial mappings on commutative algebras in this work. We call a multiplicative polynomial trivial, if it can be represented as a product of characters. In the paper we investigate the following question: does there exists a nontrivial multiplicative polynomial functional on a commutative algebra?https://journals.pnu.edu.ua/index.php/cmp/article/view/2273multiplicative polynomial functionalcharacterscommutative algebras |
| spellingShingle | O.V Labachuk A.V. Zagorodnyuk Multiplicative polynomial mappings on commutative Banach algebras Karpatsʹkì Matematičnì Publìkacìï multiplicative polynomial functional characters commutative algebras |
| title | Multiplicative polynomial mappings on commutative Banach algebras |
| title_full | Multiplicative polynomial mappings on commutative Banach algebras |
| title_fullStr | Multiplicative polynomial mappings on commutative Banach algebras |
| title_full_unstemmed | Multiplicative polynomial mappings on commutative Banach algebras |
| title_short | Multiplicative polynomial mappings on commutative Banach algebras |
| title_sort | multiplicative polynomial mappings on commutative banach algebras |
| topic | multiplicative polynomial functional characters commutative algebras |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/2273 |
| work_keys_str_mv | AT ovlabachuk multiplicativepolynomialmappingsoncommutativebanachalgebras AT avzagorodnyuk multiplicativepolynomialmappingsoncommutativebanachalgebras |