@Article{Motyka2015, author = "Motyka, Wojciech", title = "Spectra of some selfadjoint Jacobi operators in the double root case", journal = "Opuscula Math.", year = "2015", volume = "35", number = "3", pages = "353--370", doi = "http://dx.doi.org/10.7494/OpMath.2015.35.3.353", url = "http://dx.doi.org/10.7494/OpMath.2015.35.3.353", abstract = "In this paper we prove a mixed spectrum of Jacobi operators defined by \(\lambda_n=s(n)(1+x(n))\) and \(q_n=-2s(n)(1+y(n))\), where \((s(n))\) is a real unbounded sequence, \((x(n))\) and \((y(n))\) are some perturbations.", keywords = "Jacobi matrices, double root case, asymptotic behavior, subordination theory, absolutely continuous spectrum, discrete spectrum", issn = "1232-9274" }