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arxiv: math/0406395 · v1 · submitted 2004-06-21 · 🧮 math.SP

On location of discrete spectrum for complex Jacobi matrices

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keywords discretematricesspectrumcomplexjacobicompactconditiongiven
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We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.

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