1 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
Strong partially greedy bases and Lebesgue-type inequalities
Miguel Berasategui, Pablo M. Berná, Silvia Lassalle
In this paper we continue the study of Lebesgue-type inequalities for greedy algorithms. We introduce the notion of strong partially greedy Markushevich bases and study the Lebesgu…
Gleason parts for algebras of holomorphic functions on the ball of
Richard M. Aron, Verónica Dimant, Silvia Lassalle +1
For a complex Banach space with open unit ball consider the Banach algebras of bounded scalar-valued holomorphic functions and the subalgebra $\…
Operators ideals and approximation properties
Silvia Lassalle, Pablo Turco
We use the notion of $\A$-compact sets, which are determined by a Banach operator ideal $\A$, to show that most classic results of certain approximation properties and several Bana…