Open problems: The spectrum of the Hilbert matrix as an operator on \(\ell_p\)

DOI10.1007/s00020-011-1937-5zbMath1260.47030OpenAlexW1968113118MaRDI QIDQ1944780

González, Manuel

Publication date: 28 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1937-5

zbMATH Keywords

essential spectrumgeneralized Hilbert matrices

Mathematics Subject Classification ID

Problem books (00A07) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• The eigenfunctions of the Hilbert matrix
• On the Hilbert Matrix, I

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