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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Main Authors: O. V. Labachuk, A. V. Zagorodnyuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/123
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spelling 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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