output
20042026
most citedIsing-like dynamics in large-scale functional brain networks

206 citations

Showing math.FAShow all

12 papers · 1 filter

math.FA2024

Linearizing holomorphic functions on operator spaces

Javier Alejandro Chávez-Domínguez, Verónica Dimant

We introduce a notion of completely bounded holomorphic functions defined on the open unit ball of an operator space. We endow the set of these functions with an operator space str…

math.FA2024★ 1 cited

Revisiting Operator -Compact Mappings

Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer

We continue our study of the mapping ideal of operator -compact maps, previously introduced by the authors. Our approach embraces a more geometric perspective, delving into the…

math.FA2021★ 2 cited

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…

math.FA2019★ 5 cited

Homomorphisms between algebras of holomorphic functions on the infinite polydisk

Verónica Dimant, Joaquín Singer

We study the vector-valued spectrum , that is, the set of non null algebra homomorphisms from to $\mathcal H^\inft…

math.FA2019★ 1 cited

A fibered description of the vector-valued spectrum

Verónica Dimant, Joaquín Singer

For Banach spaces and we study the vector-valued spectrum , that is the set of non null algebra homomorphisms from to $…

math.FA2015

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…

math.FA2014

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…

math.FA2014

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…

math.FA2011★ 9 cited

Geometry of integral polynomials, -ideals and unique norm preserving extensions

Verónica Dimant, Daniel Galicer, Ricardo García

We use the Aron-Berner extension to prove that the set of extreme points of the unit ball of the space of integral polynomials over a real Banach space is $\{\pm ϕ^k: ϕ\in X^*,…

math.FA2010★ 5 cited

Every Banach ideal of polynomials is compatible with an operator ideal

Daniel Carando, Verónica Dimant, Santiago Muro

We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of…

math.FA2009★ 26 cited

Holomorphic Functions and polynomial ideals on Banach spaces

Daniel Carando, Verónica Dimant, Santiago Muro

Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natu…

math.FA2008

Multilinear Hölder-type inequalities on Lorentz sequence spaces

Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris

We establish Hölder type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in g…