Abstract. In this paper we discuss the spectral properties of a class of Jacobi operators defined by $\lambda_n=n^{\alpha }+c_n$ and $q_n=-2n^{\alpha }+b_n$, where $(c_n)$ and $(b_n)$ are real two-periodic sequences. From the asymptotic behavior of the solutions of the generalized eigenequation, which is in the double root case, a mixed spectrum is obtained.
AMS Subject Classification
(1991): 39A10, 47B25
Keyword(s):
Jacobi matrices,
double root case,
asymptotic behavior,
subordination theory,
absolutely continuous spectrum,
discrete spectrum
Received July 31, 2008, and in final form March 12, 2010. (Registered under 73/2010.)
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