Unique matrix factorizations associated to bilinear forms and Schur multipliers (Q6204178)
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scientific article; zbMATH DE number 7825571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unique matrix factorizations associated to bilinear forms and Schur multipliers |
scientific article; zbMATH DE number 7825571 |
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Unique matrix factorizations associated to bilinear forms and Schur multipliers (English)
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27 March 2024
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The author presents some factorizations of \(m\times n\) matrices that follow from Grothendieck's inequalities holding for operators and bilinear forms. He provides four types of optimal factorizations. Two of them are uniquely determined by the optimality, whereas two other are not. Yet, the author gives an extra condition under which the uniqueness is ensured.
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matrix factorization
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Schur multiplier
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bilinear forms
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completely bounded
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Grothendieck inequality
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minimal norm
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