Spectra of some selfadjoint Jacobi operators in the double root case

In this paper we prove a mixed spectrum of Jacobi operators defined by \(\lambda_n=s(n)(1+x(n))\) and \(q_n=-2s(n)(1+y(n))\), where \((s(n))\) is a real unbounded sequence, \((x(n))\) and \((y(n))\) are some perturbations.

Bibliographic Details
Main Author: Wojciech Motyka
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol35/3/art/opuscula_math_3522.pdf