2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132438We 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 versionMathematical PhysicsSpectral Theory47B36, 39A70.text