Skip to content

On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum

Franz Luef, Gerald Teschl

math.SParXiv:math/0109213

Abstract

We present a new oscillation criterion to determine whether the number of eigenvalues below the essential spectrum of a given Jacobi operator is finite or not. As an application we show that Kenser's criterion for Jacobi operators follows as a special case.

Create a lesson