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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.
Received: 04.03.2021 Revised: 09.04.2021 Accepted: 16.04.2021
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
Linking options:
https://www.mathnet.ru/eng/uzeru827 https://www.mathnet.ru/eng/uzeru/v55/i1/p12
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Abstract page: | 92 | Full-text PDF : | 39 | References: | 13 |
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