ON THE UNCONDITIONAL CONVERGENCE OF FABER-SCHAUDER SERIES IN $L^{1}$

Tigran M. Grigoryan; Artavazd A. Maranjyan

doi:10.46991/PYSU:A/2021.55.1.012

ON THE UNCONDITIONAL CONVERGENCE OF FABER-SCHAUDER SERIES IN $L^{1}$

Authors

Tigran M. Grigoryan Chair of Higher Mathematics, Department of Physics, YSU, Armenia
Artavazd A. Maranjyan Chair of Higher Mathematics, Department of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2021.55.1.012

Keywords:

Faber--Schauder system, unconditional representation, convergence, $L^1$ space

Abstract

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

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Published

2021-05-21

How to Cite

Grigoryan, T. M., & Maranjyan, A. A. (2021). ON THE UNCONDITIONAL CONVERGENCE OF FABER-SCHAUDER SERIES IN $L^{1}$. Proceedings of the YSU A: Physical and Mathematical Sciences, 55(1 (254), 12–19. https://doi.org/10.46991/PYSU:A/2021.55.1.012