Asymptotic greediness of the Haar system in the spaces \(L_p[0,1]\), \(1

DOI10.1007/s00365-019-09466-1zbMath1456.46016arXiv1805.01528OpenAlexW2999749927MaRDI QIDQ2187718

Pablo M. Berná, Fernando Albiac, José Luis Ansorena

Publication date: 3 June 2020

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01528

zbMATH Keywords

\(L_p\) spacesunconditional basisHaar basisLebesgue-type inequalitiesgreedy basisdemocratic basis

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

New parameters and Lebesgue-type estimates in greedy approximation ⋮ Greedy approximation for biorthogonal systems in quasi-Banach spaces

Cites Work

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• Lebesgue-type inequalities for quasi-greedy bases
• Renorming spaces with greedy bases
• Characterization of 1-almost greedy bases
• Characterization of 1-greedy bases
• The best \(m\)-term approximation and greedy algorithms
• The thresholding greedy algorithm, greedy bases, and duality
• Lebesgue inequalities for the greedy algorithm in general bases
• Topics in Banach Space Theory
• Greedy approximation
• A proof of Pełczyński's conjecture for the Haar system

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