J. Difference Equ. Appl. 10, no. 3, 299-307 (2004) [DOI: 10.1080/10236190310001641227]
On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum
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.