Luisa F. Higueras-Montaño

activity

20182025

most citedA topological insight into the polar involution of convex sets

1 citations · 2 across the 3 of their papers we have counts for

collaborators

6 papers

math.MG2025

New types of convergence for unbounded star-shaped sets

Luisa F. Higueras-Montaño

We introduce radial variants of the Wijsman and Attouch-Wets topologies for the family $S_{r c}^{d}$ of star sets $A \subseteq R^{d}$ that are radially closed.These t…

math.GT2022★ 1 cited

A topological insight into the polar involution of convex sets

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

Denote by $K_{0}^{n}$ the family of all closed convex sets $A \subset R^{n}$ containing the origin $0 \in R^{n}$ . For $A \in K_{0}^{n},$ its polar set is denoted…

math.GT2021★ 1 cited

On the topology of some hyperspaces of convex bodies associated to tensor norms

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

For every tuple $d_{1}, \dots, d_{l} \geq 2,$ let $R^{d_{1}} \otimes \dots \otimes R^{d_{l}}$ denote the tensor product of $R^{d_{i}},$ $i = 1, \dots, l .$ Let us denote by…

math.GT2019

A hyperspace of convex bodies arising from tensor norms

Luisa F. Higueras-Montaño

In a preceding work it is determined when a centrally symmetric convex body in $R^{d},$ $d = d_{1} \dots d_{l},$ is the closed unit ball of a reasonable crossnorm on $\mathbb{R}^{…

math.FA2019

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…