Maite Fernández-Unzueta

activity

20132025

p

-summing multilinear operators

13 citations · 24 across the 7 of their papers we have counts for

collaborators

9 papers

math.PR2025

On Convex Functions of Gaussian Variables

Maite Fernández-Unzueta, James Melbourne, Gerardo Palafox-Castillo

We investigate a convexity properties for normalized log moment generating function continuing a recent investigation of Chen of convex images of Gaussians. We show that any variab…

math.FA2024

Polynomials as Lipschitz maps on the Veronese cone

Maite Fernández-Unzueta

Given a Banach space $X$ and $d \in N$ , we construct a metric space $V_{X}^{d}$ with the property that every $d$ -homogeneous polynomial defined on $X$ factors through…

math.FA2022★ 1 cited

Lipschitz p-summing multilinear operators correspond to Lipschitz p-summing operators

Maite Fernández-Unzueta

We give conditions that ensure that an operator satisfying a Piestch domination in a given setting also satisfies a Piestch domination in a different setting. From this we derive t…

math.FA2019★ 4 cited

A General Theory of Tensor Products of Convex Sets in Euclidean Spaces

Maite Fernández-Unzueta, Luisa F. Higueras-Montaño

We introduce both the notions of tensor product of convex bodies that contain zero in the interior, and of tensor product of $0$ -symmetric convex bodies in Euclidean spaces. We pro…

math.FA2018

Convex Bodies Associated to Tensor Norms

Maite Fernández-Unzueta, Luisa F. Higueras-Montaño

We determine when a convex body in $R^{d}$ is the closed unit ball of a reasonable crossnorm on $R^{d_{1}} \otimes \dots \otimes R^{d_{l}},$ $d = d_{1} \dots d_{l} .$ We…

math.FA2018★ 4 cited

Multilinear Operators Factoring through Hilbert Spaces

Maite Fernández-Unzueta, Samuel García-Hernández

We characterize those bounded multilinear operators that factor through a Hilbert space in terms of its behavior in finite sequences. This extends a result, essentially due to S. K…

math.FA2018★ 13 cited

Lipschitz $p$ -summing multilinear operators

Jorge Carlos Angulo-López, Maite Fernández-Unzueta

We apply the geometric approach provided by $Σ$ -operators to develop a theory of $p$ -summability for multilinear operators. In this way, we introduce the notion of Lipschitz $p$ -su…

math.FA2018★ 2 cited

The Segre cone of Banach spaces and multilinear operators

Maite Fernández-Unzueta

We prove that any pair of reasonable cross norms defined on the tensor product of $n$ Banach spaces induce $(2 k)^{n - 1}$ -Lipschitz equivalent metrics (and thus, a unique topology) o…

math.OA2013

Bilinear Ideals in Operator Spaces

Verónica Dimant, Maite Fernández-Unzueta

We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals $N$ of completely nuc…