Generalizing the Fischer inequality
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.
positive semidefinite Hermitian matrices
scientific article; zbMATH DE number 4002283