The retraction constant and the minimal displacement characteristic of some Banach spaces (Q881607)
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scientific article; zbMATH DE number 5159583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The retraction constant and the minimal displacement characteristic of some Banach spaces |
scientific article; zbMATH DE number 5159583 |
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The retraction constant and the minimal displacement characteristic of some Banach spaces (English)
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30 May 2007
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Let \(X\) be a Banach space with the unit sphere \(S\) and the unit ball \(B\). The retraction constant \(k_0(X)\) is the smallest number \(k\) such that there is a \(k\)-Lipschitzian retraction \(R:B\to S\). The authors provide some improved upper estimates of the retraction constant of certain Banach spaces.
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retraction
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Lipschitzian mapping
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minimal displacement
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