We continue the investigation of the behaviour of octahedral norms in tensor products of
Banach spaces. First, we will prove the existence of a Banach space Y such that the injective …

The aim of this note is to study some geometrical properties like diameter two properties,
octahedrality and almost squareness in the setting of (symmetric) tensor product spaces. In …

The aim of this note is to study octahedrality in vector-valued Lipschitz-free Banach spaces
on a metric space, under topological hypotheses on it, by analysing the weak-star strong …

We investigate diameter 2 properties in Banach spaces, and related notions and properties
such as the octahedrality of the norm, almost square Banach spaces, and thickness and …

We study almost square Banach spaces under a topological point of view. Indeed, we prove
that the class of Banach spaces which admits an equivalent norm to be ASQ is that of those …

We prove that, if Banach spaces X and Y are δ-average rough, then their direct sum with
respect to an absolute norm N is δ/N (1, 1)-average rough. In particular, for octahedral X and …

In this work, we study non-rough norms in L (X, Y), the space of bounded linear operators
between Banach spaces X and Y. We prove that L (X, Y) has non-rough norm if and only if …

We characterise those Banach spaces X which satisfy that L (Y, X) is octahedral for every
non-zero Banach space Y. They are those satisfying that, for every finite dimensional …

We investigate sufficient and necessary conditions for the space of bounded linear operators
between two Banach spaces to be rough or average rough. Our main result is that is δ …

We extend the (attaining of) strong diameter two property to infinite cardinals. In particular, a
Banach space has the 1-norming attaining strong diameter two property with respect to ω (1 …