Continuous homomorphisms of Arens-Michael algebras

Alex Chigogidze

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-17

Abstract:

It is shown that every continuous homomorphism of Arens-Michael algebras can be obtained as the limit of a morphism of certain projective systems consisting of Fréchet algebras. Based on this, we prove that a complemented subalgebra of an uncountable product of Fréchet algebras is topologically isomorphic to the product of Fréchet algebras.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:357935

DOI: 10.1155/S0161171203012237

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