On the convergence rate of \(s\)-numbers of compact Hankel operators

DOI10.1007/BF01293680zbMath0799.47008MaRDI QIDQ1310652

Charles K. Chui, Joseph D. Ward, Xin Li

Publication date: 3 January 1994

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

compact operator\(s\)-numberscompact Hankel operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

• Unnamed Item
• On bounded bilinear forms
• Rational approximation of a class of infinite-dimensional systems. I: Singular values of Hankel operators
• The CF table
• Rate of convergence of Schmidt pairs and rational functions corresponding to best approximants of truncated Hankel operators
• System reduction via truncated Hankel matrices
• On Completely Continuous Hankel Matrices
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
• A Note on a System Theoretic Approach to a Conjecture by Peller-Khrushchev: The General Case

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