81 citations · 119 across the 36 of their papers we have counts for
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On discrete spectra of Bergman--Toeplitz operators with harmonic symbols
Leonid Golinskii, Stanislas Kupin, Juliette Leblond +1
In the present article, we study the discrete spectrum of certain bounded Toeplitz operators with harmonic symbol on a Bergman space. Using the methods of classical perturbaton the…
Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line
Leonid Golinskii, Alexei Stepanenko
We prove upper and lower bounds for sums of eigenvalues of Lieb-Thirring type for non-self-adjoint Schrödinger operators on the half-line. The upper bounds are established for gene…
A remark on the discrete spectrum of non-self-adjoint Jacobi operators
Leonid Golinskii
We study the trace class perturbations of the whole-line, discrete Laplacian and obtain a new bound for the perturbation determinant of the corresponding non-self-adjoint Jacobi op…
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators
Leonid Golinskii
We study the trace class perturbations of the half-line, discrete Laplacian and obtain a new bound for the perturbation determinant of the corresponding non-self-adjoint Jacobi ope…
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
Leonid Golinskii, Anton Kutsenko
We construct a functional model (direct integral expansion) and study the spectra of certain periodic block-operator Jacobi matrices, in particular, of general 2D partial differenc…
On stability in the Borg--Hochstadt theorem for periodic Jacobi matrices
L. Golinskii
A result of Borg--Hochstadt in the theory of periodic Jacobi matrices states that such a matrix has constant diagonals as long as all gaps in its spectrum are closed (have zero len…