Projecting onto Helson matrices in Schatten classes

DOI10.4064/sm190901-24-3OpenAlexW2968812742MaRDI QIDQ5139052

Nazar Miheisi, Ole Fredrik Brevig

Publication date: 4 December 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.04521

zbMATH Keywords

Schatten classHelson matrixaveraging projection

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

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• A lower bound in Nehari's theorem on the polydisc
• A Helson matrix with explicit eigenvalue asymptotics
• Matrices with multiplicative entries are tensor products
• Symbols for trace class Hankel operators with good estimates for norms
• Hankel forms and sums of random variables
• Failure of Nehari's theorem for multiplicative Hankel forms in Schatten classes
• Hankel forms
• On Helson matrices: moment problems, non-negativity, boundedness, and finite rank

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