Continuous homomorphisms of Arens‐Michael algebras
Copyright policy )Continuous homomorphisms of Arens‐Michael algebras
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.
- University of Saskatchewan Canada
Arens-Michael algebras, 46H05; 46M10, Projective and injective objects in functional analysis, 46M10, 46H05, Fréchet algebras, Functional Analysis (math.FA), Mathematics - Functional Analysis, QA1-939, FOS: Mathematics, General theory of topological algebras, Mathematics
Arens-Michael algebras, 46H05; 46M10, Projective and injective objects in functional analysis, 46M10, 46H05, Fréchet algebras, Functional Analysis (math.FA), Mathematics - Functional Analysis, QA1-939, FOS: Mathematics, General theory of topological algebras, Mathematics
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