摘要
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^(−α))and b_(n)=O(n^(−1)).We will show that,forα≥1,the singular continuous spectrum of the operator is empty.
作者
傅钲淇
黎雄
Zhengqi FU;Xiong LI(Department of Basic Sciences,Naval Submarine Academy,Qingdao,266199,China;Laboratory of Mathematics and Complex Systems(Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China)
基金
supported by the NSFC(12371158).
