@Article{Sahbani2016,
author = "Sahbani, Jaouad",
title = "On the spectrum of periodic perturbations of certain unbounded Jacobi operators",
journal = "Opuscula Math.",
year = "2016",
volume = "36",
number = "6",
pages = "807--818",
doi = "http://dx.doi.org/10.7494/OpMath.2016.36.6.807",
url = "http://dx.doi.org/10.7494/OpMath.2016.36.6.807",
abstract = "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.",
keywords = "essential spectrum, spectral gap, periodic perturbation",
issn = "1232-9274"
}