Sharp estimate on the resolvent of a finite-dimensional contraction

DOI10.1016/j.jmaa.2022.126093zbMath1496.15017OpenAlexW4213117398MaRDI QIDQ831463

Karine Fouchet

Publication date: 23 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126093

zbMATH Keywords

resolventToeplitz matrixBlaschke productmodel matrix\(H^{\infty}\)-interpolation

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Maximum of the resolvent over matrices with given spectrum
• A maximum problem for matrices
• Functions of operators and the spectral radius
• The commutant lifting approach to interpolation problems
• Norms of powers of matrices with constrained spectra
• Eigenvalue estimates for the resolvent of a non-normal matrix
• \(H^{\infty}\) interpolation and embedding theorems for rational functions
• Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
• Effective H^{\infty} interpolation
• Condition numbers of large matrices, and analytic capacities

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