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Matematicheskie Zametki, 2010, Volume 88, Issue 1, Pages 18–29
DOI: https://doi.org/10.4213/mzm8566 (Mi mzm8566) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a Greedy Algorithm in $L^1(0,1)$ with Regard to Subsystems of the Haar System and on $\omega$-Quasigreedy Bases

S. L. Gogyan

Institute of Mathematics, National Academy of Sciences of Armenia
Full-text PDF (499 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8566
Abstract: All quasigreedy subsystems of the Haar system in $L^1(0,1)$ are described. The problem of renormalizing the Haar system so that it becomes a quasigreedy basis is also studied.
Keywords: greedy algorithm in $L^1(0,1)$, Haar system, $\omega$-quasigreedy basis, quasigreedy Haar subsystem, Banach space.
Received: 09.12.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 1, Pages 16–27
DOI: https://doi.org/10.1134/S0001434610070023
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. L. Gogyan, “On a Greedy Algorithm in $L^1(0,1)$ with Regard to Subsystems of the Haar System and on $\omega$-Quasigreedy Bases”, Mat. Zametki, 88:1 (2010), 18–29; Math. Notes, 88:1 (2010), 16–27
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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