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 …

We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric
property of the underlying metric space. We study the metric spaces with and without this …

In this paper we study the structure of the set Hom. X; R/of all lattice homomorphisms from a
Banach lattice X into R. Using the relation among lattice homomorphisms and disjoint …

In contrast to the separable case, we prove that the existence of almost L-orthogonal vectors
in a nonseparable Banach space X (octahedrality) does not imply the existence of nonzero …

We give a characterization of the separable Banach spaces with the Daugavet property
which is applied to study the Daugavet property in the projective tensor product of an L …

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 …

We study when diameter 2 properties can be inherited by subspaces. We obtain that the
slice diameter 2 property (resp., the diameter 2 property, strong diameter 2 property) passes …

We study the presence of L-orthogonal elements in connection with Daugavet centers and
narrow operators. We prove that if dens (Y)⩽ ω 1 and G: X⟶ Y is a Daugavet center with …

We prove that every Banach space admitting a Gâteaux smooth norm and containing a
complemented copy of ℓ 1 has an equivalent renorming which is simultaneously Gâteaux …