SHNOL'S THEOREM AND THE SPECTRUM OF LONG RANGE OPERATORS

被引：19
|
作者：
Han, Rui [1 ,2 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 07期
关键词：
EIGENFUNCTIONS; LOCALIZATION;
D O I：
10.1090/proc/14388
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend some basic results known for finite range operators to long range operators with off-diagonal decay. Namely, we prove an analogue of Shnol's theorem. We also establish the connection between the almost sure spectrum of long range random operators and the spectra of deterministic periodic operators.
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页码：2887 / 2897
页数：11
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