On non-selfadjoint operators with finite discrete spectrum

2020/02/22 by Olivier Bourget, Bourget, Olivier, Diomba Sambou +3
Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Material Science and Thermodynamics #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP

paper · pdf · doi:10.48550/arxiv.2002.09590

Submission to STMP Santiago 2018 proceeding

arxiv created 2020/02/22 · openalex publication_date 2020/02/22 · arxiv updated 2020/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schrödinger operators. We show that the perturbed operator exhibits finite discrete spectrum under suitable\- regularity conditions.

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