Numerical ranges of large Toeplitz matrices

DOI10.1016/S0024-3795(98)10057-5zbMath0937.15021MaRDI QIDQ1809097

Steffen Roch

Publication date: 25 November 1999

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

zbMATH Keywords

Hilbert spaceasymptotic behaviournumerical rangesfinite section methodfinite approximation matricesfinite sections of Toeplitz operatorsinfinite operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Characterizations of the polynomial numerical hull of degree \(k\), Spectral approximation of Wiener-Hopf operators with almost periodic generating function

Cites Work

• Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
• Pseudospectra and singular values of large convolution operators
• Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices
• On the limiting set of singular values of Toeplitz matrices
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• Toeplitz Operators with Piecewise Quasisectorial Symbols
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