81 citations · 119 across the 36 of their papers we have counts for
38 papers
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…
Modulus support functionals, Rajchman measures and peak functions
L. Golinskii, V. Kadets
In 2000 V. Lomonosov suggested a counterexample to the complex version of the Bishop-Phelps theorem on modulus support functionals. We discuss the -analog of that example and…
Spectra of infinite graphs: two methods of computation
Leonid Golinskii
Two method for computation of the spectra of certain infinite graphs are suggested. The first one can be viewed as a reversed Gram--Schmidt orthogonalization procedure. It relies h…