The generalized spectral matrices and radial matrices on symmetry classes of tensors (Q1087967)
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scientific article; zbMATH DE number 3989575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized spectral matrices and radial matrices on symmetry classes of tensors |
scientific article; zbMATH DE number 3989575 |
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The generalized spectral matrices and radial matrices on symmetry classes of tensors (English)
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1987
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By using the m-th tensor power of \({\mathbb{C}}^ n\) and two fixed matrices A and C, the author defines three quantities generalizing the norm, the numerical radius and the spectral radius. After establishing the general inequalities between them he then studies operators for which equalities occur. The results involve various conditions on A, C, their eigenvalues and singular values.
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tensor power
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norm
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numerical radius
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spectral radius
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inequalities
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eigenvalues
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singular values
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