首页|THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS

THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS

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This paper is mainly about the spectral properties of a class of Jacobi operators(Hc,bu)(n)=cnu(n+1)+cn-1u(n-1)+bnu(n),where |cn-1|=O(n-α)and bn=O(n-1).We will show that,for α ≥ 1,the singular continuous spectrum of the operator is empty.

Jacobi operatorsingular continuous spectrumPrüfer variables

傅钲淇、黎雄

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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

NSFC

12371158

2024

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子:0.256
ISSN:0252-9602
年,卷(期):2024.44(2)
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