3 papers
math.OC2025
Characterization of regularity via variational stability of alternating projections sequences
Francesco Battistoni, Aris Daniilidis, Carlo Alberto De Bernardi +1
The notion of regular pair for two nonempty closed convex subsets and~ of a Hilbert space $\H$ was introduced by Borwein and Bauschke in 1993 to ensure convergence (…
math.OC2024
A note on the Moment Problem for codimension greater than 1
Francesco Battistoni, Enrico Miglierina
We provide new conditions under which the alternating projection sequence converges in norm for the convex feasibility problem where a linear subspace with finite codimension $N\ge…
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…