Evolution of the complex spectrum of a periodic operator
type: Item
instance of: scholarly article
title: Evolution of the complex spectrum of a periodic operator
zbMATH Open document ID: 0820.47066
DOI: 10.1007/BF01250554
author: M. A. Pankratov
published in: Mathematical Notes
publication date: 1994-02-08T00:00:00Z
review text: This article is concerned with the study of the structure of the spectrum of a periodic non-self-adjoint operator from the point of view of its evolution with respect to a parameter \(r\in [0, 1]\). For such an operator the definition of the spectrum reduces to the solution of the dispersion equation \(F(r, p, e^{i\theta})= 0\). The author proved that the spectrum just defined is symmetric with respect to the real axis. The article contains some more results.
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 484289
zbMATH Keywords: structure of the spectrum of a periodic non-self-adjoint operator
zbMATH Keywords: dispersion equation
reviewed by: Mahmoud Kutkut
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 484289