On a greedy algorithm in \(L^{1}(0, 1)\) with regard to subsystems of the Haar system and on \(\omega \)-quasigreedy bases

DOI10.1134/S0001434610070023zbMath1230.46012OpenAlexW2019210946MaRDI QIDQ650249

S. L. Gogyan

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610070023

zbMATH Keywords

Haar systemBanach space\(\omega \)-quasigreedy basisgreedy algorithm in \(L^{1}(0,1)\)quasigreedy Haar subsystem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Nonlinear approximation by renormalized trigonometric system ⋮ On the greedy algorithm by the Haar system ⋮ On the quasi-greedy constant of the Haar subsystems in \(L^1(0, 1)\)

Cites Work

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• On convergence of weak thresholding greedy algorithm in \(L^{1}\)(0,1)
• The best \(m\)-term approximation and greedy algorithms
• On approximate \(\ell_1\) systems in Banach spaces
• Convergence of greedy approximation I. General systems
• Greedy algorithm for general biorthogonal systems

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