On finite sections of the multiplicative Hilbert inequalities

DOI10.4153/S0008439521000217zbMath1486.45002OpenAlexW3152578670MaRDI QIDQ5065922

Charif Abdallah Benyamine

Publication date: 23 March 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439521000217

zbMATH Keywords

finite sectionHilbert multiplicative inequalities

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Hermitian, skew-Hermitian, and related matrices (15B57) Integral operators (45P05) Inequalities for sums, series and integrals (26D15) Eigenvalue problems for integral equations (45C05)

Cites Work

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• The multiplicative Hilbert matrix
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• The behavior of the maximum value of finite sections of a class of bilinear forms
• A Helson matrix with explicit eigenvalue asymptotics
• On the spectrum of the multiplicative Hilbert matrix
• On The Eigenvalues of Certain Hermitian Operators
• On Hilbert’s inequality in 𝑛 dimensions
• On Helson matrices: moment problems, non-negativity, boundedness, and finite rank

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