A Day-Nordlander theorem for the tangential modulus of a normed space (Q1359623)
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scientific article; zbMATH DE number 1031612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Day-Nordlander theorem for the tangential modulus of a normed space |
scientific article; zbMATH DE number 1031612 |
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A Day-Nordlander theorem for the tangential modulus of a normed space (English)
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8 July 1998
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Continuing the notation of the author's paper [Mathematica 38, 199-207 (1996; see the preceding review)] the author proves the following: Let \(X\) be real linear space of dimension \(\geq 2\). Then \(\xi_X(\beta)\geq \xi_H(\beta)\) for all \(\beta\in [0,1)\). Moreover, if \(X\) is a real normed space of dimension \(\geq 2\) and if for a fixed \(\beta\in (0,1)\) we have \(\xi_X(\beta)= \xi_H(\beta)\), then \(X\) is an inner product space.
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inner product space
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