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, 2010, Volume 88, Issue 1,Pages 18

This article is cited 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

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.

UDC: 517.51

Received: 09.12.2009

DOI: 10.4213/mzm8566