A nonlinear characterization of Hilbert spaces (Q1353585)
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scientific article; zbMATH DE number 1005589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlinear characterization of Hilbert spaces |
scientific article; zbMATH DE number 1005589 |
Statements
A nonlinear characterization of Hilbert spaces (English)
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29 April 1997
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The author has proved that a real Banach space \((X,|\cdot|)\) is a Hilbert space if and only if the duality map \(F\) of \(X\) maps line segments to convex sets.
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real Banach space
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Hilbert space
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duality map
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line segments
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convex sets
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