Monotonicity and \(^*\)orthant-monotonicity of certain maximum norms. (Q1873695)
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scientific article; zbMATH DE number 1917801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity and \(^*\)orthant-monotonicity of certain maximum norms. |
scientific article; zbMATH DE number 1917801 |
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Monotonicity and \(^*\)orthant-monotonicity of certain maximum norms. (English)
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27 May 2003
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Let \(\mathbb K\) be the field of real or complex numbers. A characterization of all inner product norms \(p_1\) and \(p_2\) on \(\mathbb K^n\) for which the norm \(x\mapsto \max\{ p_1(x),p_2(x)\}\) on \(\mathbb K^n\) is monotonic or *orthant-monotonic is given.
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monotonic norms
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orthant monotonic norms
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inner product norms
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