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Browsing by Author "Sahbani, Jaouad"

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    Item type:Article, Access status: Open Access ,
    On the spectrum of periodic perturbations of certain unbounded Jacobi operators
    (2016) Sahbani, Jaouad
    It is known that a purely off-diagonal Jacobi operator with coefficients $a_n=n^{\alpha}$, $\alpha\in(0,1]$ has a purely absolutely continuous spectrum filling the whole real axis. We show that a 2-periodic perturbation of these operators creates a non trivial gap in the spectrum.