On results of Krein, Rao and Lin about angles between vectors in a Hilbert space

DOI10.1007/s13398-023-01405-xOpenAlexW4321501511MaRDI QIDQ2686971

Marek Niezgoda

Publication date: 1 March 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-023-01405-x

zbMATH Keywords

Hilbert spacenumerical radiusrefined inequalityangle between vectorsK-R functionalKrein-Rao (K-R) inequality

Mathematics Subject Classification ID

Basic linear algebra (15Axx) General theory of linear operators (47Axx)

Cites Work

• Unnamed Item
• On triangle inequality for Miranda-Thompson's majorization and gradients of increasing functions
• Refinements of triangle-like inequalities in Lie's framework
• Some remarks on the triangle inequality for norms
• Remarks on Kreĭn's inequality
• Angular localization of the spectrum of a multiplicative integral in a Hilbert space
• Improving Schwarz inequality in inner product spaces
• On Maligranda like inequalities for G-majorization
• Buzano, Kreĭn and Cauchy-Schwarz inequalities
• A note on numerical radius and the Krein-Lin inequality
• Simple Norm Inequalities
• Matrix theory. Basic results and techniques
• Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

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