On the \(p\)-Asplund space of a Banach space (Q2744442)
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scientific article; zbMATH DE number 1649020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(p\)-Asplund space of a Banach space |
scientific article; zbMATH DE number 1649020 |
Statements
5 November 2002
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Fréchet differentiability property
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Radon-Nikodym property
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FDP
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lower semicondtinuous convex minorant
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\(p\)-Asplund space
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On the \(p\)-Asplund space of a Banach space (English)
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An extended real valued function \(f\) on a Banach space enjoys the Fréchet differentiability property (FDP) provided that each lower semicontinuous convex minorant of \(f\) is Fréchet differentiable on a dense \(\delta\) subset of the effective domain of \(f\). The author gives a few reformulations of FDP.
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