一致双曲性与 CMV 矩阵谱的刻画
谱理论
2016-12-15 v3 数学物理
动力系统
math.MP
摘要
我们为各类 上cocycle 的一致双曲性各种概念的等价性提供了一个初等证明，并为扩展 CMV 矩阵建立了一个 Johnson 型定理，将谱与单位圆上那些关联 Szeg\H{o} cocycle 非一致双曲的点联系起来。
引用
@article{arxiv.1409.6259,
title = {Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices},
author = {David Damanik and Jake Fillman and Milivoje Lukic and William Yessen},
journal= {arXiv preprint arXiv:1409.6259},
year = {2016}
}
备注
15 pages; based on the appendices of arXiv:1404.7065, which were removed in passing from arXiv:1404.7065v1 to arXiv:1404.7065v2, the latter being the version accepted for publication in IMRN