14 citations · 40 across the 38 of their papers we have counts for
5 papers · 1 filter
A characterisation of octahedrality in Lipschitz-free spaces
Antonín Procházka, Abraham Rueda Zoca
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…
Daugavet property and separability in Banach spaces
Abraham Rueda Zoca
We give a characterisation of the separable Banach spaces with the Daugavet property which is applied to study the Daugavet property in the projective tensor product of an -embe…
On the structure of spaces of vector-valued Lipschitz functions
Luis García-Lirola, Colin Petitjean, Abraham Rueda Zoca
We analyse the strong connections between spaces of vector-valued Lipschitz functions and spaces of linear continuous operators. We apply these links to study duality, Schur proper…
Unconditional almost squareness and applications to spaces of Lipschitz functions
Luis García-Lirola, Abraham Rueda Zoca
We introduce an unconditional concept of almost squareness in order to provide a partial negative answer to the problem of existence of any dual almost square Banach space. We also…
Lipschitz slices versus linear slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
The aim of this note is study the topology generated by Lipschitz slices in the unit sphere of a Banach space. We prove that the above topology agrees with the weak topology in the…