A Bessel-Schwarz inequality for Gramians and related bounds for determinants

DOI10.1007/BF02411025zbMath0168.27901OpenAlexW1994577098MaRDI QIDQ2530948

Frederic T. Metcalf

Publication date: 1965

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02411025

zbMATH Keywords

linear algebra, forms

Related Items

A generalization of J. Aczél's inequality in inner product spaces, On Bessel's and Gram's inequalities in prehilbertian spaces, Vector Inequalities for a Projection in Hilbert Spaces and Applications, Quasilinearity of some composite functionals associated to Schwarz's inequality for inner products, Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications, Operator valued Gramians and inner products on vector valued function spaces, Some vector inequalities for two operators in Hilbert spaces with applications, Grassmann algebras as Hilbert spaces, On the rate of convergence of the alternating projection method in finite dimensional spaces, Stand-alone results and applications in multilinear algebra

Cites Work

• Inequalities for the permanent function
• INEQUALITIES FOR GRAM DETERMINANTS
• ON THE GRAM DETERMINANT
• The Gram Matrix and Hadamard Theorem
• Notes on Matrix Theory--IV (An Inequality Due to Bergstrom)
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