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

Franz Luef and Gerald Teschl

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.

MSC91: Primary 36A10, 39A70; Secondary 34B24, 34L05
Keywords: Discrete oscillation theory, Jacobi operators, spectral theory, Kneser's theorem

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