activity
20222026
most citedRotund Gateaux smooth norms which are not locally uniformly rotund

3 citations · 3 across the 5 of their papers we have counts for

collaborators
Showing 2024Show all

2 papers · 1 filter

math.FA2024

ABB theorems: Results and limitations in infinite dimensions

Aris Daniilidis, Carlo de Bernardi, Enrico Miglierina

We construct a weakly compact convex subset of with nonempty interior that has an isolated maximal element, with respect to the lattice order . Moreover, the ma…

math.FA2024

A note on smooth rotund norms which are not midpoint locally uniformly rotund

Carlo Alberto De Bernardi, Alessandro Preti, Jacopo Somaglia

We prove that every separable infinite-dimensional Banach space admits a Gâteaux smooth and rotund norm which is not midpoint locally uniformly rotund. Moreover, by using a similar…