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Subjects
47-XX Operator theory
47Bxx Special classes of linear operators
47B36 Jacobi (tridiagonal) operators (matrices) and generalizations

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Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum

Petru Cojuhari, Jan Janas (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.

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