On the Classification of the Spectrum of Second Order Difference Operators

DOI<45::AID-MANA45>3.0.CO;2-R 10.1002/1522-2616(200008)216:1<45::AID-MANA45>3.0.CO;2-RzbMath0969.47027OpenAlexW2016641660MaRDI QIDQ4504912

Bernhard Beckermann

Publication date: 23 September 2001

Full work available at URL: https://doi.org/10.1002/1522-2616(200008)216:1<45::aid-mana45>3.0.co;2-r

zbMATH Keywords

resolventspectrumdifference operatoressential spectrumtridiagonal complex Jacobi matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Difference operators (39A70) Linear difference operators (47B39) Convergence and divergence of continued fractions (40A15)

Related Items (7)

A study of resolvent set for a class of band operators with matrix elements ⋮ On the Hellinger Theorem andl^p-properties of Solutions of Difference Equations ⋮ Non-self-adjoint Jacobi matrices with a rank-one imaginary part ⋮ The Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systems ⋮ On the spectrum of tridiagonal operators and the support of orthogonalization measures ⋮ Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices ⋮ The linear pencil approach to rational interpolation

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