Shnol's theorem and the spectrum of long range operators
Spectral Theory
2018-09-18 v2 Mathematical Physics
math.MP
Abstract
We extend some basic results known for finite range operators to long range operators with off-diagonal decay. Namely, we prove an analogy of Sch'nol's theorem. We also establish the connection between the almost sure spectrum of long range random operators and the spectra of deterministic periodic operators.
Keywords
Cite
@article{arxiv.1704.04603,
title = {Shnol's theorem and the spectrum of long range operators},
author = {Rui Han},
journal= {arXiv preprint arXiv:1704.04603},
year = {2018}
}
Comments
To appear in Proc. AMS. Referee's comments incorporated