Generalized Prufer variables for perturbations of Jacobi and CMV matrices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Lukic, Milivoje^1,2  Ong, Darren C.³ 

[1] Univ Toronto, Dept Math, Bahen Ctr, 40 St George St, Toronto, ON M5S 2E4, Canada

[2] Rice Univ, Dept Math, Houston, TX 77005 USA

[3] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

关键词: Spectral theory;    Perturbation theory;    CMV operators;    Jacobi operators;    Prufer variables;   

DOI  :  10.1016/j.jmaa.2016.07.036

来源: Elsevier

【 摘 要 】

Prufer variables are a standard tool in spectral theory, developed originally for perturbations of the free Schrodinger operator. We adapt the generalized Prufer variables, introduced by Kiselev-Remling-Simon for perturbations of an arbitrary Schrodinger operator, to the setting of Jacobi and Szego recursions. We present an application to random L-2 perturbations of Jacobi and CMV matrices, and an application to decaying oscillatory perturbations of periodic Jacobi and CMV matrices. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free