International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 19, Pages 1215-1231
doi:10.1155/S0161171203012237
Continuous homomorphisms of Arens-Michael algebras
Alex Chigogidze
Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatchewan, Saskatoon S7N 5E6, Canada
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.