Extendedly differentiable submanifolds (Q1390372)
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scientific article; zbMATH DE number 1175126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extendedly differentiable submanifolds |
scientific article; zbMATH DE number 1175126 |
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Extendedly differentiable submanifolds (English)
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11 October 1998
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The zero set \(N(A)\) of an arbitrary \(\mathcal{C}^r\) operator \(A:X\rightarrow Y\) between Banach spaces is not, in general, a differentiable submanifold of \(X\). The author enlarges the notion of differentiability such that this set always becomes a differentiable submanifold in the extended sense.
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linear operator
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Banach space
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differentiable submanifold
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0.9137267
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0.90450025
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