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Continuous homomorphisms of Arens-Michael algebras - MaRDI portal

Continuous homomorphisms of Arens-Michael algebras (Q1811900)

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Continuous homomorphisms of Arens-Michael algebras
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    Continuous homomorphisms of Arens-Michael algebras (English)
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    18 June 2003
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    Summary: 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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    Arens-Michael algebras
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    Fréchet algebras
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