On the location of the discrete spectrum for complex Jacobi matrices

Egorova, I.; Golinskii, L.

doi:10.1090/S0002-9939-05-08181-5

On the location of the discrete spectrum for complex Jacobi matrices
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by I. Egorova and L. Golinskii PDF

Proc. Amer. Math. Soc. 133 (2005), 3635-3641 Request permission

Abstract:

We study spectrum inclusion regions for complex Jacobi matrices that are compact perturbations of the discrete Laplacian. The condition sufficient for the lack of a discrete spectrum for such matrices is given.

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