Norming points and critical points (Q313506)
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scientific article; zbMATH DE number 6626200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norming points and critical points |
scientific article; zbMATH DE number 6626200 |
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Norming points and critical points (English)
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12 September 2016
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The authors introduce a concept of differentiation for functions defined on the unit sphere of a Banach space which allows them to prove, for Banach spaces with \(C^p\) norm, that a linear functional is norm-attaining if and only if it has a critical point on the unit sphere under this new concept of differentiation.
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Banach space
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Bishop-Phelps theorem
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differentiation
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critical point
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0.8757012
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