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

Loading [MathJax]/jax/output/CommonHTML/jax.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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)

References:

PDF

HTML

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

\Bibitem{Gog10}

\by S.~L.~Gogyan

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

\jour Mat. Zametki

\yr 2010

\vol 88

\issue 1

\pages 18--29

\mathnet{http://mi.mathnet.ru/mzm8566}

\crossref{https://doi.org/10.4213/mzm8566}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882160}

\transl

\jour Math. Notes

\yr 2010

\vol 88

\issue 1

\pages 16--27

\crossref{https://doi.org/10.1134/S0001434610070023}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284088200002}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956471915}

Linking options:

https://www.mathnet.ru/eng/mzm8566

https://doi.org/10.4213/mzm8566

https://www.mathnet.ru/eng/mzm/v88/i1/p18

This publication is cited in the following 3 articles:

Gogyan S., Srapionyan N., “On the Quasi-Greedy Constant of the Haar Subsystems in l-1(0,1)”, J. Contemp. Math. Anal.-Armen. Aca., 54:2 (2019), 124–128
Aleksanyan H., “Nonlinear approximation by renormalized trigonometric system”, J. Contemp. Math. Anal., 47:2 (2012), 86–96
Gogyan S.L., “On a greedy algorithm in $L^1(0,1)$ in a regular Haar system”, J. Contemp. Math. Anal., 46:1 (2011), 21–31

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	430
Full-text PDF :	200
References:	59
First page:	9

Registration to the website

Logotypes