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 isom...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203012237 |
| 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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| ISSN: | 0161-1712 1687-0425 |