Localized Bounded Below Approximate Schauder Frames are Finite Unions of Approximate Riesz Sequences
Functional Analysis
2023-01-10 v1
Abstract
Based on the truth of Feichtinger conjecture by Marcus, Spielman and Srivastava \textit{[Ann. of Math. (2), 2015]} and from the localized version by Gr\"{o}chenig \textit{[Adv. Comput. Math., 2003]}, we introduce the notion of localization of approximate Schauder frames (ASFs) and approximate Riesz sequences (ARSs). We show that localized bounded below ASFs are finite unions of ARSs.
Keywords
Cite
@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}
}
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