81 citations · 119 across the 36 of their papers we have counts for
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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…
Schur flows and orthogonal polynomials on the unit circle
L. Golinskii
The relation between the Toda lattices and similar nonlinear chains and orthogonal polynomials on the real line has been elaborated immensely for the last decades. We examine anoth…
Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szego Theorems
Leonid Golinskii, Andrej Zlatos
Let be a non-trivial probability measure on the unit circle $\partial\bbD$, the density of its absolutely continuous part, its Verblunsky coefficients, and its…
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…