On location of discrete spectrum for complex Jacobi matrices

2004/06/21 by Iryna Egorova, I. Egorova, Egorova, I. +3
Mathematics · #47A10 #47A55 #47B36 #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:47A10 #msc:47A55 #msc:47B36

paper · pdf · doi:10.48550/arxiv.math/0406395

LaTeX, 7 pages

arxiv created 2004/06/21 · openalex publication_date 2004/06/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.

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