The spectrum of a periodic complex Jacobi matrix revisited

DOI10.1006/jath.2000.3480zbMath0966.15004OpenAlexW1990146597MaRDI QIDQ1583977

A. Almendral Vázquez

Publication date: 29 January 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3480

zbMATH Keywords

spectrumbounded linear operatorperiodic complex Jacobi matrix

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) Spectrum, resolvent (47A10)

Related Items (4)

Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ Complex Jacobi matrices ⋮ Spectral properties of some complex Jacobi matrices

Cites Work

• The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Classes of linear operators. Vol. I
• On the domain of convergence and poles of complex \(J\)-fractions
• The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
• Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients
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