Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\) (Q1310156)
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scientific article; zbMATH DE number 474987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\) |
scientific article; zbMATH DE number 474987 |
Statements
Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\) (English)
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18 May 1994
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Sei \(H \subset \mathbb{C}^ 2\) die offene Einheitskugel bezüglich der \(l_ 1\)-Norm. Es wird gezeigt, daß die Carathéodory-Kugeln (von endlichem Radius) in \(H\), die gleichzeitig \(l_ 1\)-Kugeln sind, ihr Zentrum im Nullpunkt haben müssen.
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Carathéodory balls
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norm balls
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0.9714606
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0.95385206
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0.88431126
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0.8195685
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0.81367457
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0.8119192
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0.80954623
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0.8072903
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