Generalizing the Fischer inequality (Q1089067)
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scientific article; zbMATH DE number 4002283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizing the Fischer inequality |
scientific article; zbMATH DE number 4002283 |
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Generalizing the Fischer inequality (English)
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1987
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Let A and B be alternating complex valued n-linear and q-linear functionals respectively. The author shows that \(\left( \begin{matrix} n+p\\ n\end{matrix} \right)\| A\wedge B\|^ 2\leq \| A\|^ 2\| B\|^ 2.\) Further he explores the relations with the classical Fischer inequality and provides matrix versions of his results.
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positive semidefinite Hermitian matrices
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exterior products
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Fischer inequality
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