10 citations · 18 across the 15 of their papers we have counts for
17 papers
Fibers and Gleason parts for the maximal ideal space of
Verónica Dimant, Silvia Lassalle, Manuel Maestre
In the early nineties, R. M. Aron, B. Cole, T. Gamelin and W.B. Johnson initiated the study of the maximal ideal space (spectrum) of Banach algebras of holomorphic functions define…
The fundamental functions of the canonical basis of Hardy spaces of Dirichlet series
Daniel Carando, Silvia Lassalle, Leandro Milne
Given a frequency , we consider the Hardy spaces of -Dirichlet series and study the asymptotic behavior of the upper and…
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…
Weak greedy algorithms and the equivalence between semi-greedy and almost greedy Markushevich bases
Miguel Berasategui, Silvia Lassalle
We introduce and study the notion of weak semi-greedy systems -which is inspired in the concepts of semi-greedy and Branch semi-greedy systems and weak thresholding sets-, and prov…
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 $\…
Ideal structures in vector-valued polynomial spaces
Verónica Dimant, Silvia Lassalle, Ángeles Prieto
This paper is concerned with the study of geometric structures in spaces of polynomials. More precisely, we discuss for and Banach spaces, whether the class of weakly conti…
Weaker relatives of the bounded approximation property for a Banach operator ideal
Silvia Lassalle, Eve Oja, Pablo Turco
Fixed a Banach operator ideal , we introduce and investigate two new approximation properties, which are strictly weaker than the bounded approximation property (BAP) f…
A Lindenstrauss theorem for some classes of multilinear mappings
D. Carando, S. Lassalle, M. Mazzitelli
Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the s…
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…
On the polynomial Lindenstrauss theorem
Daniel Carando, Silvia Lassalle, Martín Mazzitelli
Under certain hypotheses on the Banach space , we show that the set of -homogeneous polynomials from to any dual space, whose Aron-Berner extensions are norm attaining, i…
The ideal of p-compact operators: a tensor product approach
Daniel Galicer, Silvia Lassalle, Pablo Turco
We study the space of -compact operators , using the theory of tensor norms and operator ideals. We prove that is associated to , the left inj…
On p-Compact mappings and p-approximation
Silvia Lassalle, Pablo Turco
The notion of -compact sets arises naturally from Grothendieck's characterization of compact sets as those contained in the convex hull of a norm null sequence. The definition,…
-structures in vector-valued polynomial spaces
Verónica Dimant, Silvia Lassalle
This paper is concerned with the study of -structures in spaces of polynomials. More precisely, we discuss for and Banach spaces, whether the class of weakly continuous…
Orthogonally additive holomorphic functions of bounded type over
Daniel Carando, Silvia Lassalle, Ignacio Zalduendo
It is known that all -homogeneous orthogonally additive polynomials over are of the form Thus factors all orthogonally additi…