On the location of the discrete spectrum for complex Jacobi matrices
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Publication:5313347
DOI10.1090/S0002-9939-05-08181-5zbMath1090.47018arXivmath/0502544MaRDI QIDQ5313347
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Publication date: 29 August 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0502544
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
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Volterra-type discrete integral equations and spectra of non-self-adjoint Jacobi operators ⋮ Non-self-adjoint Jacobi matrices with a rank-one imaginary part ⋮ Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Dispersion estimates for one-dimensional discrete Schrödinger and wave equations ⋮ Jacobi matrices generated by ratios of hypergeometric functions ⋮ Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range ⋮ Lieb--Thirring bounds for complex Jacobi matrices ⋮ Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators ⋮ Discrete spectrum for complex perturbations of periodic Jacobi matrices ⋮ Spectral properties of some complex Jacobi matrices ⋮ A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator ⋮ Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators
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