Abraham Rueda Zoca

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

Daugavet property and separability in Banach spaces

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

Almost square and octahedral norms in tensor products of Banach spaces

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

Octahedrality in Lipschitz-free Banach spaces

X/Y

On the structure of spaces of vector-valued Lipschitz functions

is finite dimensional,

Octahedral norms in tensor products of Banach spaces

X/Y