On the spectrum of Hilbert matrix operator

DOI10.1007/s00020-021-02637-5zbMath1487.47050OpenAlexW3157882632MaRDI QIDQ2032312

Bernd Silbermann

Publication date: 11 June 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-021-02637-5

zbMATH Keywords

spectrumHankel operatorToeplitz operatoressential spectrumhypergeometric functioneigenfunctionpoint spectrumHilbert matrix operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear composition operators (47B33)

Related Items (2)

New upper bound for the Hilbert matrix norm on negatively indexed weighted Bergman spaces ⋮ On the norm of the Hilbert matrix

Cites Work

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• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• A handy formula for the Fredholm index of Toeplitz plus Hankel operators
• Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
• Spectral theory of approximation methods for convolution equations
• Best constants for the Riesz projection
• The eigenfunctions of the Hilbert matrix
• On the Hilbert Matrix, I
• On the Hilbert Matrix, II
• On the Singly-Infinite Hilbert Matrix
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• Local Algebras of TOEPLITZ Operators onlp, γ
• Banach Algebras Generated by Two Idempotents and One Flip
• Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions
• SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS
• On the Spectrum of Hilbert's Matrix

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