T. M. Grigoryan, A. A. Maranjyan, “On the unconditional convergence of Faber–Schauder series in <nobr>$L^{1}$</nobr>”, Proceedings of the YSU, Physical and Mathematical Sciences, 2021, Volume 55, Issue 1,Pages <nobr>12

Mathematics

On the unconditional convergence of Faber–Schauder series in $L^{1}$

T. M. Grigoryan, A. A. Maranjyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: In this paper we proved that the Faber–Schauder functions form an unconditional representation system for $L^1$.

Keywords: Faber–Schauder system, unconditional representation, convergence, $L^1$ space.

MSC: Primary 42A16; Secondary 42C20

Received: 04.03.2021
Revised: 09.04.2021
Accepted: 16.04.2021

Language: English

DOI: 10.46991/PYSU:A/2021.55.1.012