descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2003Publisher:Springer Science and Business Media LLCJournal:Constructive Approximation, volume 19, pages 575-597 (issn: 0176-4276, eissn: 1432-0940,

Authors: Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.;

doi: 10.1007/s00365-002-0525-y

The Thresholding Greedy Algorithm, Greedy Bases, and Duality

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Abstract

Let \(X\) be a Banach space with a normalized basis \((e_n)\) and biorthogonal functionals \((e_n^*)\) and let \(x\in X\). Order the nonzero scalars \(e_n^*(x)\) by decreasing the modulus (if \(| e_n^*(x)| =| e_m^*(x)| \) and \(n

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Keywords

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Duality and reflexivity in normed linear and Banach spaces, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, thresholding, duality, greedy bases, greedy approximation

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