Approximation of convex functions on the dual of Banach spaces (Q696883)
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scientific article; zbMATH DE number 1800261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of convex functions on the dual of Banach spaces |
scientific article; zbMATH DE number 1800261 |
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Approximation of convex functions on the dual of Banach spaces (English)
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12 September 2002
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The authors prove that each \(w^\ast\)-lower-semicontinuous convex function can be approximated by an increasing sequence of generically Fréchet differentiable \(w^\ast\)-lower-semicontinuous convex functions on the dual of a uniformly convexifiable Banach space.
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convex function
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Fréchet differentiability
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Banach space
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