On the Number of Eigenvalues of Jacobi Operators

Details On the Number of Eigenvalues of Jacobi Operators On the Number of Eigenvalues of Jacobi Operators

2001-09-26

arxiv.org/abs/math/0109213v2

J. Difference Equ. Appl. 10, no. 3, 299-307 (2004)

Mathematics

Spectral Theory

8 pages

Scientific paper

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 a special case we obtain a generalization of Kenser's criterion for
Sturm-Liouville operators to Jacobi operators.

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