Matrix quasinorms induced by maximal and minimal vector norms (Q503503)
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scientific article; zbMATH DE number 6674344
| Language | Label | Description | Also known as |
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| English | Matrix quasinorms induced by maximal and minimal vector norms |
scientific article; zbMATH DE number 6674344 |
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Matrix quasinorms induced by maximal and minimal vector norms (English)
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13 January 2017
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Summary: In the set of all vector norms in \(\mathbb{C}^n\), there exist maximal and minimal complex norms which coincide with the real Euclidean norm in \(\mathbb{R}^n\). The purpose of this paper is to introduce new quasinorms defined on complex matrices. These two matrix quasinorms are induced by maximal and minimal complex vector norms. We also prove the dual relation between these two quasinorms.
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vector norm
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Euclidean norm
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quasinorms
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complex matrices
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