4 citations · 7 across the 22 of their papers we have counts for
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When Greedy Approximation Breaks: Counterexamples in Quasi-Banach Spaces
Fernando Albiac, José L. Ansorena, Miguel Berasategui +1
We construct two counterexamples that resolve long-standing open problems on greedy approximation theory with respect to bases, posed in [F. Albiac et al., Dissertationes Math. 560…
Quasi-greedy Markushevich bases, duality and norming subspaces
Miguel Berasategui
We prove that if is a quasi-greedy Markushevich basis of a Banach space , its dual basis spans a norming subspace of . We al…
Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces
Miguel Berasategui, Pablo M. Berná, Hung Viet Chu +1
We continue the study of Lebesgue-type parameters for various greedy algorithms in quasi-Banach spaces. First, we introduce a parameter that can be used with the quasi-greedy param…
Summability Methods for the Greedy Algorithm in Banach spaces
Miguel Berasategui, Pablo M. Berná, Stephen J. Dilworth +1
For the past 25 years, one of the most studied algorithms in the field of Nonlinear Approximation Theory has been the Thresholding Greedy Algorithm. In this paper, we propose new s…