8 papers
Extremal structure of projective tensor products
Luis C. García-Lirola, Guillaume Grelier, Gonzalo Martínez-Cervantes +1
We prove that, given two Banach spaces and and bounded, closed convex sets and , if a nonzero element $z\in \overline{\mathrm{co}}(C\otimes D)\…
A characterization of a local vector valued Bollobás theorem
Sheldon Dantas, Abraham Rueda Zoca
In this paper, we are interested in giving two characterizations for the so-called property {\bf L}, a local vector valued Bollobás type theorem. We say that has t…
A renorming characterization of Banach spaces containing
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
A result of G. Godefroy asserts that a Banach space contains an isomorphic copy of if and only if there is an equivalent norm such that, for every finite…
Daugavet property in projective symmetric tensor products of Banach spaces
Miguel Martin, Abraham Rueda Zoca
We show that all the symmetric projective tensor products of a Banach space have the Daugavet property provided has the Daugavet property and either is an -predual…
On Daugavet indices of thickness
Rainis Haller, Johann Langemets, Vegard Lima +2
Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior o…
Octahedral norms in duals and biduals of Lipschitz-free spaces
Johann Langemets, Abraham Rueda Zoca
We continue with the study of octahedral norms in the context of spaces of Lipschitz functions and in their duals. First, we prove that the norm of is octahedr…