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...
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Vasyl Stefanyk Precarpathian National University
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Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/123 |
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doaj-1f5fdb2f23884583ac5f2938ee3e9fbc2020-11-25T01:29:36ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-014228428810.15330/cmp.4.2.284-288127Multiplicative polynomial mappings on commutative Banach algebrasO. V. Labachuk0A. V. Zagorodnyuk1Vasyl Stefanyk Precarpathian National UniversityVasyl 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?http://journals.pu.if.ua/index.php/cmp/article/view/123 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
O. V. Labachuk A. V. Zagorodnyuk |
spellingShingle |
O. V. Labachuk A. V. Zagorodnyuk Multiplicative polynomial mappings on commutative Banach algebras Karpatsʹkì Matematičnì Publìkacìï |
author_facet |
O. V. Labachuk A. V. Zagorodnyuk |
author_sort |
O. V. Labachuk |
title |
Multiplicative polynomial mappings on commutative Banach algebras |
title_short |
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_sort |
multiplicative polynomial mappings on commutative banach algebras |
publisher |
Vasyl Stefanyk Precarpathian National University |
series |
Karpatsʹkì Matematičnì Publìkacìï |
issn |
2075-9827 2313-0210 |
publishDate |
2013-01-01 |
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? |
url |
http://journals.pu.if.ua/index.php/cmp/article/view/123 |
work_keys_str_mv |
AT ovlabachuk multiplicativepolynomialmappingsoncommutativebanachalgebras AT avzagorodnyuk multiplicativepolynomialmappingsoncommutativebanachalgebras |
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1725096153492488192 |