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: |
Wiley
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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| _version_ | 1832559743229493248 |
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| author | Alex Chigogidze |
| author_facet | Alex Chigogidze |
| author_sort | Alex Chigogidze |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-126514746afb43b999fe000efa74793b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-126514746afb43b999fe000efa74793b2025-02-03T01:29:14ZengWileyInternational 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 |
| spellingShingle | Alex Chigogidze Continuous homomorphisms of Arens-Michael algebras International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Continuous homomorphisms of Arens-Michael algebras |
| title_sort | continuous homomorphisms of arens michael algebras |
| url | http://dx.doi.org/10.1155/S0161171203012237 |
| work_keys_str_mv | AT alexchigogidze continuoushomomorphismsofarensmichaelalgebras |