Lieb--Thirring bounds for complex Jacobi matrices

Abstract

We obtain various versions of classical Lieb--Thirring bounds for one- and multi-dimensional complex Jacobi matrices. Our method is based on Fan-Mirski Lemma and seems to be fairly general.

10 pages, 1 figure; a preliminary version

References in corpus (2)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• On the discrete spectrum of complex banded matrices