64 citations · 236 across the 39 of their papers we have counts for
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Remarks on Periodic Jacobi Matrices on Trees
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well known gap in the spectrum of the Laplacian on the…
Eigenvectors From Eigenvalues: The Case of One-Dimensional Schrödinger Operators
Fritz Gesztesy, Maxim Zinchenko
We revisit an archive submission by P. B. Denton, S. J. Parke, T. Tao, and X. Zhang, arXiv:1908.03795, on self-adjoint matrices from the point of view of self-adjoint…
Lieb-Thirring Inequalities for Complex Finite Gap Jacobi Matrices
Jacob S. Christiansen, Maxim Zinchenko
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap Jacobi matric…
Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
Jacob S. Christiansen, Maxim Zinchenko
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class perturbations under very general assumptions. Our results apply, in particula…
Donoghue-Type -Functions for Schrödinger Operators with Operator-Valued Potentials
Fritz Gesztesy, Sergey N. Naboko, Rudi Weikard +1
Given a complex, separable Hilbert space , we consider self-adjoint -realizations of differential expressions , on half-li…
On a perturbation determinant for accumulative operators
Konstantin A. Makarov, Anna Skripka, Maxim Zinchenko
For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-pl…