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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.FA2025
Lattice tilings of Hilbert spaces
Carlo Alberto De Bernardi, Tommaso Russo, Jacopo Somaglia
We construct a bounded and symmetric convex body in (for certain cardinals ) whose translates yield a tiling of . This answers a question due to Fonf and…
math.FA2025
Some remarks on almost locally uniformly rotund points
Carlo Alberto De Bernardi, Jacopo Somaglia
We study the relations between different notions of almost locally uniformly rotund points that appear in literature. We show that every non-reflexive Banach space admits an equiva…