局部化下有界近似Schauder框架是近似Riesz序列的有限并
泛函分析
2023-01-10 v1
摘要
基于Marcus、Spielman与Srivastava [Ann. of Math. (2), 2015]对Feichtinger猜想的证实,以及Gröchenig [Adv. Comput. Math., 2003]的局部化版本,我们引入近似Schauder框架(ASF)与近似Riesz序列(ARS)的局部化概念。我们证明了局部化下有界的ASF是ARS的有限并。
引用
@article{arxiv.2301.03365,
title = {Localized Bounded Below Approximate Schauder Frames are Finite Unions of Approximate Riesz Sequences},
author = {K. Mahesh Krishna},
journal= {arXiv preprint arXiv:2301.03365},
year = {2023}
}
备注
5 Pages, 0 Figures