On the spaces \(C^ k(\mathbb{R})\cap L^ p(\mathbb{R})\) (Q1359073)
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scientific article; zbMATH DE number 1026258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spaces \(C^ k(\mathbb{R})\cap L^ p(\mathbb{R})\) |
scientific article; zbMATH DE number 1026258 |
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On the spaces \(C^ k(\mathbb{R})\cap L^ p(\mathbb{R})\) (English)
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25 November 1997
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We show that the Fréchet-Sobolev spaces \(C(\mathbb{R})\cap L^p(\mathbb{R})\) and \(C^k(\mathbb{R})\cap L^p(\mathbb{R})\) are not isomorphic for \(p\neq 2\) and \(k\in\mathbb{N}\).
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isomorphic spaces
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Fréchet-Sobolev spaces
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