This paper is mainly about the spectral properties of a class of Jacobi operators $ (H_{c,b}u)(n)=c_{n}u(n+1)+c_{n-1}u(n-1)+b_{n}u(n), $ where $|c_{n}-1|=O(n^{-\alpha})$ and $b_{n}=O(n^{-1})$. We will show that, for $\alpha\ge1$, the singular continuous spectrum of the operator is empty.
Zhengqi FU
,
Xiong LI
. THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS[J]. Acta mathematica scientia, Series B, 2024
, 44(2)
: 515
-531
.
DOI: 10.1007/s10473-024-0208-x
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