The weighted property (A) and the greedy algorithm

DOI10.1016/j.jat.2019.105300zbMath1440.46011arXiv1803.05052OpenAlexW2975512327WikidataQ127219947 ScholiaQ127219947MaRDI QIDQ2334382

Denka Kutzarova, Ben Wallis, Stephen Dilworth, Pablo M. Berná, Timur Oikhberg

Publication date: 7 November 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05052

zbMATH Keywords

unconditional basisthresholding greedy algorithmproperty (A)\(w\)-greedy bases

Mathematics Subject Classification ID

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 (10)

Extensions of democracy-like properties for sequences with gaps ⋮ Weak forms of unconditionality of bases in greedy approximation ⋮ On weighted greedy-type bases ⋮ Greedy-like bases for sequences with gaps ⋮ Performance of the thresholding greedy algorithm with larger greedy sums ⋮ Weight-partially greedy bases and weight-property \((A)\) ⋮ Characterization of weight-semi-greedy bases ⋮ Equivalence between almost-greedy and semi-greedy bases ⋮ Strong partially greedy bases and Lebesgue-type inequalities ⋮ Greedy approximation for biorthogonal systems in quasi-Banach spaces

Cites Work

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• Renorming spaces with greedy bases
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• The thresholding greedy algorithm, greedy bases, and duality
• Lebesgue inequalities for the greedy algorithm in general bases
• Convergence of some greedy algorithms in Banach spaces
• Restricted nonlinear approximation
• Lebesgue constants for the weak greedy algorithm
• Weight-almost greedy bases
• Greedy Approximation
• On the existence of almost greedy bases in Banach spaces
• Greedy algorithm for general biorthogonal systems

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