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math.SP2021
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…
math.SP2021★ 1 cited
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…
math.SP2021
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…