Multiplicative polynomial mappings on commutative Banach algebras

O. V. Labachuk, A. V. Zagorodnyuk


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?

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