The Courant-Fischer theorem and the spectrum of selfadjoint block band Toeplitz operators

DOI10.1007/BF01191821zbMath0903.47020OpenAlexW2060943170MaRDI QIDQ1378094

Peter Zizler, Keith F. Taylor, Shigeru Arimoto

Publication date: 13 December 1998

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

Full work available at URL: https://doi.org/10.1007/bf01191821

zbMATH Keywords

eigenvalues of the truncationsselfadjoint block Toeplitz operatorspectral rangetrigonometric matrix polynomial

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Positive definite functions in one variable harmonic analysis (42A82) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Rates of convergence for the approximation of dual shift-invariant systems in \(\ell^2 (\mathbb{Z})\), Approximation of approximation numbers by truncation

Cites Work

• Asymptotic behavior of block Toeplitz matrices and determinants. II
• A unifying approach to some old and new theorems on distribution and clustering
• Unnamed Item
• Unnamed Item