Ginés López-Pérez

Subspaces of Banach spaces with big slices

We study when diameter two properties pass down to subspaces. We obtain that the slice two property (respectively diameter two property, strong diameter two property) passes down from a Banach space

Some geometric properties of Read's space☆

X

Big slices versus big relatively weakly open subsets in Banach spaces

to a subspace

Octahedral norms and convex combination of slices in Banach spaces

Y

Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces

whenever

Octahedral norms in spaces of operators

Y

Octahedrality in Lipschitz-free Banach spaces

is complemented by a norm one projection with finite-dimensional kernel (respectively the quotient

Some results on almost square Banach spaces

X/Y

Lipschitz slices versus linear slices in Banach spaces

is finite dimensional,

Diameter two properties in James spaces

X/Y