Improving Schwarz inequality in inner product spaces

DOI10.1080/03081087.2017.1418827zbMath1417.46015arXiv1709.02029OpenAlexW2963855052MaRDI QIDQ4646647

Sever Silvestru Dragomir

Publication date: 14 January 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02029

zbMATH Keywords

inner product spacesSchwarz's inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Inequalities for generalized matrix function and inner product ⋮ Buzano, Kreĭn and Cauchy-Schwarz inequalities ⋮ On results of Krein, Rao and Lin about angles between vectors in a Hilbert space ⋮ Inequalities for angles between subspaces with applications to Cauchy-Schwarz inequality in inner product spaces ⋮ The orthogonal projections and several inequalities ⋮ Some refinements of Ostrowski's inequality and an extension to a 2-inner product space

Cites Work

• A self-improvement to the Cauchy-Schwarz inequality
• Remarks on Kreĭn's inequality
• BUZANO’S INEQUALITY HOLDS FOR ANY PROJECTION
• A Trace Inequality for Unitary Matrices
• Matrix theory. Basic results and techniques
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