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On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum
classification
🧮 math.SP
math-phmath.MP
keywords
jacobibelowcriterioneigenvaluesessentialnumberoperatorsspectrum
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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.
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