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Continuous homomorphisms of Arens-Michael algebras

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  • Alex Chigogidze

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.

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  • Alex Chigogidze, 2003. "Continuous homomorphisms of Arens-Michael algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:357935
    DOI: 10.1155/S0161171203012237
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