Ring homomorphisms on real Banach algebras

Takeshi Miura and Sin-Ei Takahasi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-5

Abstract:

Let B be a strictly real commutative real Banach algebra with the carrier space Φ B . If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ : A → B , which needs not be linear nor continuous. If A is a commutative complex Banach algebra, then ρ ( A ) is contained in the radical of B .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:745108

DOI: 10.1155/S0161171203302352

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