LOCALIZED BOUNDED BELOW APPROXIMATE SCHAUDER FRAMES ARE FINITE UNIONS OF APPROXIMATE RIESZ SEQUENCES

Autor: K. MAHESH KRISHNA
Rok vydání: 2023
Předmět:
Popis: 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.
Databáze: OpenAIRE