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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2021, Volume 55, Issue 1, Pages 12–19
DOI: https://doi.org/10.46991/PYSU:A/2021.55.1.012 (Mi uzeru827) 		 
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
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DOI: https://doi.org/10.46991/PYSU:A/2021.55.1.012
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.
Received: 04.03.2021
Revised: 09.04.2021
Accepted: 16.04.2021
Document Type: Article
MSC: Primary 42A16; Secondary 42C20
Language: English
Citation: T. M. Grigoryan, A. A. Maranjyan, “On the unconditional convergence of Faber–Schauder series in $L^{1}$”, Proceedings of the YSU, Physical and Mathematical Sciences, 55:1 (2021), 12–19
Citation in format AMSBIB
\Bibitem{GriMar21}
\by T.~M.~Grigoryan, A.~A.~Maranjyan
\paper On the unconditional convergence of Faber--Schauder series in $L^{1}$
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2021
\vol 55
\issue 1
\pages 12--19
\mathnet{http://mi.mathnet.ru/uzeru827}
\crossref{https://doi.org/10.46991/PYSU:A/2021.55.1.012}
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