5 papers
Functions in with optimal tensor representations
Luis C. García-Lirola, Juan Guerrero-Viu
We study the existence and characterization of optimal tensor representations of elements in the space of Bochner integrable functions. We completely describe the set of…
Composition operators for holomorphic Lipschitz functions
Verónica Dimant, Luis C. García-Lirola, Juan Guerrero-Viu +1
We study composition operators on spaces of holomorphic Lipschitz functions defined on the open unit ball of a complex Banach space. Our approach is based on the linearization of t…
Almost preserved extreme points
Ramón J. Aliaga, Luis C. García-Lirola, Juan Guerrero-Viu +2
In this paper we introduce the notion of an almost preserved extreme point (APEP) of a set as a weakening of the concept of preserved extreme points, and we systematically study su…
Projective tensor products where every element is norm-attaining
Luis C. García-Lirola, Juan Guerrero-Viu, Abraham Rueda Zoca
In this paper we analyse when every element of attains its projective norm. We prove that this is the case if is the dual of a subspace of a predual of…
Borell's inequality and mean width of random polytopes via discrete inequalities
David Alonso-Gutiérrez, Luis C. García-Lirola
Borell's inequality states the existence of a positive absolute constant such that for every $$ \left(\mathbb E|\langle X, e_n\rangle|^p\right)^\frac{1}{p}\le…