Multiplicative polynomial mappings on commutative Banach algebras

Authors

  • O.V Labachuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • A.V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-5554-4342

Keywords:

multiplicative polynomial functional, characters, commutative algebras
Published online: 2012-12-27

Abstract

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?

How to Cite
(1)
Labachuk, O.; Zagorodnyuk, A. Multiplicative Polynomial Mappings on Commutative Banach Algebras. Carpathian Math. Publ. 2012, 4, 284-288.