C. D. De Bernardi

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

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Showing 2023Show all

3 papers · 1 filter

math.FA2023

Unit balls of Polyhedral Banach spaces with many extreme points

Carlo Alberto De Bernardi

Let $E$ be a $(IV)$ -polyhedral Banach space. We show that, for each $ε > 0$ , $E$ admits an $ε$ -equivalent $(V)$ -polyhedral norm such that the corresponding closed u…

math.OC2023

Stochastic Approximation in convex multiobjective optimization

Carlo Alberto De Bernardi, Enrico Miglierina, Elena Molho +1

Given a strictly convex multiobjective optimization problem with objective functions $f_{1}, \dots, f_{N}$ , let us denote by $x_{0}$ its solution, obtained as minimum point of the linear s…

math.FA2023★ 3 cited

Rotund Gateaux smooth norms which are not locally uniformly rotund

Carlo Alberto De Bernardi, Jacopo Somaglia

We provide, in every infinite-dimensional separable Banach space, an average locally uniformly rotund (and hence rotund) Gateaux smooth renorming which is not locally uniformly rot…