Renorming \(c_ 0(\Gamma)\) (Q1085396)
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scientific article; zbMATH DE number 3981813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Renorming \(c_ 0(\Gamma)\) |
scientific article; zbMATH DE number 3981813 |
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Renorming \(c_ 0(\Gamma)\) (English)
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1986
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An equivalent norm is defined on \(c_ 0(\Gamma)\) that is simultaneously locally convex and Fréchet differentiable. This space of functions vanishing at infinity on the discrete set \(\Gamma\) was known to have norms that separately have these two properties. The proof here is a direct, but lengthy computation.
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renorming
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simultaneously locally convex and Fréchet differentiable
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