Generalizing the Fischer inequality
type: Item
instance of: scholarly article
title: Generalizing the Fischer inequality
zbMATH Open document ID: 0618.15011
DOI: 10.1016/0024-3795(87)90247-3
author: Thomas H. Pate
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 4002283
zbMATH Keywords: positive semidefinite Hermitian matrices
zbMATH Keywords: exterior products
zbMATH Keywords: Fischer inequality
reviewed by: George Phillip Barker
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90247-3
OpenAlex ID: W1992914580
cites work: Q4771383
cites work: Multilinear algebra. 2nd ed
cites work: Inequalities: theory of majorization and its applications
Wikidata QID: Q126569903
description: scientific article; zbMATH DE number 4002283