On the spectra of infinite-dimensional Jacobi matrices

DOI10.1016/0021-9045(88)90022-6zbMath0671.47021OpenAlexW2020070089MaRDI QIDQ1119881

Jeffrey S. Geronimo

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90022-6

zbMATH Keywords

self-adjoint operatorGreen functionmatrix orthogonal polynomialscomparison equationBargmann's argumentBirman-Schwinger argumentupper bound on the number of eigenvalues

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

Orthogonal polynomials with asymptotically periodic recurrent coefficients ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On a family of differential operators with the coupling parameter in the boundary condition ⋮ M. G. Krein's ideas in the theory of orthogonal polynomials ⋮ On the location of the discrete spectrum for complex Jacobi matrices ⋮ On the spectral estimates for the Schrödinger operator on \(\mathbb Z^d\), \(d \geqslant 3\) ⋮ Orthogonal polynomials, associated polynomials and functions of the second kind ⋮ Spectra of the constant Jacobi matrices on Banach sequence spaces ⋮ On infinite Jacobi matrices with a trace class resolvent ⋮ On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum ⋮ Absolute continuity for unbounded Jacobi matrices with constant row sums ⋮ Lieb-Thirring inequalities for Jacobi matrices

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