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math.SP2005
The asymptotic properties of the spectrum of non symmetrically perturbed Jacobi matrix sequences
Leonid Golinskii, Stefano Serra-Capizzano
Under the mild trace-norm assumptions we show that the eigenvalues of a generic (non Hermitian) complex perturbation of a Jacobi matrix sequence (not necessarily real) are still di…
math.SP2005
The discrete spectrum for complex perturbations of periodic Jacobi matrices
I. Egorova, L. Golinskii
We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of real periodic Jacobi matrices. The condition sufficient for the lack of discrete…