  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.
