4 citations · 7 across the 22 of their papers we have counts for
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Elton's near unconditionality of bases as a threshold-free form of greediness
Fernando Albiac, José L. Ansorena, Miguel Berasategui
Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas…
Extensions and new characterizations of some greedy-type bases
Miguel Berasategui, Pablo M. Berná, Hung Viet Chu
Partially greedy bases in Banach spaces were introduced by Dilworth et al. as a strictly weaker notion than the (almost) greedy bases. In this paper, we study two natural ways to s…
Sparse approximation using new greedy-like bases in superreflexive spaces
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui
This paper is devoted to theoretical aspects on optimality of sparse approximation. We undertake a quantitative study of new types of greedy-like bases that have recently arisen in…
Extensions of democracy-like properties for sequences with gaps
Miguel Berasategui, Pablo M. Berná
In \cite{O2015}, T. Oikhberg introduced and studied variants of the greedy and weak greedy algorithms for sequences with gaps. In this paper, we extend some of the notions that app…