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 |
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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 |
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doaj-126514746afb43b999fe000efa74793b2020-11-24T21:49:59ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003191215123110.1155/S0161171203012237Continuous homomorphisms of Arens-Michael algebrasAlex Chigogidze0Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatchewan, Saskatoon S7N 5E6, CanadaIt 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.http://dx.doi.org/10.1155/S0161171203012237 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alex Chigogidze |
| spellingShingle |
Alex Chigogidze Continuous homomorphisms of Arens-Michael algebras International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Alex Chigogidze |
| author_sort |
Alex Chigogidze |
| title |
Continuous homomorphisms of Arens-Michael algebras |
| title_short |
Continuous homomorphisms of Arens-Michael algebras |
| title_full |
Continuous homomorphisms of Arens-Michael algebras |
| title_fullStr |
Continuous homomorphisms of Arens-Michael algebras |
| title_full_unstemmed |
Continuous homomorphisms of Arens-Michael algebras |
| title_sort |
continuous homomorphisms of arens-michael algebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171203012237 |
| work_keys_str_mv |
AT alexchigogidze continuoushomomorphismsofarensmichaelalgebras |
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1725886035062161408 |