Localized Bounded Below Approximate Schauder Frames are Finite Unions of Approximate Riesz Sequences
Abstract
Based on the truth of Feichtinger conjecture by Marcus, Spielman and Srivastava [Ann. of Math. (2), 2015] and from the localized version by Gr\"ochenig [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.
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