On the denseness of the invertible group in uniform Fréchet algebras (Q648463)
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scientific article; zbMATH DE number 5976605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the denseness of the invertible group in uniform Fréchet algebras |
scientific article; zbMATH DE number 5976605 |
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On the denseness of the invertible group in uniform Fréchet algebras (English)
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22 November 2011
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The authors extend the Arens-Royden theorem to commutative unital Fréchet algebras, provided their maximal ideal spaces satisfy certain conditions concerning their connectedeness. They deal also with the question when a uniform Fréchet algebra has or does not have a dense group of invertible elements.
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uniform Fréchet algebra
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hemicompact space
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\(k\)-space
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projective limit
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invertible group
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topological dimension
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Arens-Royden theorem
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