7 papers
Banach spaces with the weak diametral diameter two property
Juan Guerrero-Viu, Miguel Martín, Abraham Rueda Zoca
We introduce and systematically study the weak diametral diameter two property (weak-DD2P), a new geometric property that lies strictly between the diametral diameter two property…
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…
On super Delta-points and the convex-DLD2P in absolute sums
Juan Guerrero-Viu, Joanna Markowicz
We partially answer two open questions concerning diameter two properties in absolute sums. First, we identify the conditions that a super -point in an absolute sum of Banach sp…
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…
Integral representations of projective norm-attaining tensors
Ramón J. Aliaga, Sheldon Dantas, Juan Guerrero-Viu +2
We introduce a Bochner integral approach to projective norm attainment in tensor products of Banach spaces by defining the class of integral projective norm-attaining tensors. This…
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…