3 papers
math.FA2024
Octahedrality and Gâteaux smoothness
Ch. Cobollo, P. Hájek
We prove that every Banach space admitting a Gateaux smooth norm and containing a complemented copy of has an equivalent renorming which is simultaneously Gâteaux smooth a…
math.FA2023
A remark on totally smooth renormings
Ch. Cobollo, A. J. Guirao, V. Montesinos
E. Oja, T. Viil, and D. Werner showed, in [Totally smooth renormings, Archiv der Mathematik, 112, 3, (2019), 269--281] that a weakly compactly generated Banach space $(X,\|\cdot \|…
math.FA2023
The numerical index of -dimensional Lipschitz-free spaces
Ch. Cobollo, A. J. Guirao, V. Montesinos
We provide the explicit formula for the numerical index of any -dimensional Lipschitz-free space, also giving the construction of operators attaining this value as its numerical…