On the spectrum of the Bergman-Hilbert matrix

DOI10.1016/0024-3795(87)90139-XzbMath0636.15013OpenAlexW2083262212MaRDI QIDQ1097934

Pratibha G. Ghatage

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90139-x

zbMATH Keywords

Bergman spaceselfadjoint operatorinfinite matrixHilbert matrixnorm estimatesBergman-Hilbert matrixHilbert-Hankel operatorisolated eigenvalues of finite multiplicityoperator on sequence space l2

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

L-matrices with lacunary coefficients ⋮ Lower bounds of Copson type for weighted mean matrices and Nörlund matrices ⋮ A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix

Cites Work

• Unnamed Item
• Lower bounds for matrices
• Tricks or Treats with the Hilbert Matrix
• Hankel Operators on the Bergman Space for the Disc

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