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Weak weight-semi-greedy Markushevich bases
Miguel Berasategui, Silvia Lassalle
We introduce and study the notion of weak weight-semi-greedy Markushevich bases - which extends the concepts of weight semi-greedy and weak semi-greedy Markushevich bases. In parti…
Weaker forms of unconditionality of bases in greedy approximation
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui +2
In this paper we study a new class of bases, weaker than quasi-greedy bases, which retain their unconditionality properties and can provide the same optimality for the thresholding…
Bidemocratic bases and their connections with other greedy-type bases
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui +2
In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or almost greedy bases. In this artic…