C. D. Bernardi

activity

20192026

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3 papers · 1 filter

math.FA2026

Tilings and coverings by balls in $ℓ_{1}$

Carlo Alberto De Bernardi, Tommaso Russo, Şeyda Sezgek +1

A famous result of Klee from 1981 is that the Banach space $ℓ_{1} (κ)$ admits a disjoint tiling by balls of radius $1$ , for all cardinals $κ$ with $κ^{ω} = κ$ . Klee also observed that…

math.FA2026

Extending quasiconvex functions from uniformly convex sets

Carlo Alberto De Bernardi, Libor Veselý

Let $X$ be a normed space of a finite dimension at least two, and $C ⊊ X$ a closed convex set with nonempty interior. We are interested in extending Lipschitz quasiconvex f…

math.FA2026

Packings in classical Banach spaces

Carlo Alberto De Bernardi, Tommaso Russo, Şeyda Sezgek +1

We obtain several new results on the simultaneous packing and covering constant $γ (X)$ of a Banach space $X$ , and its lattice counterpart $γ^{*} (X)$ . Th…

Tilings and coverings by balls in ℓ1​

Extending quasiconvex functions from uniformly convex sets

Packings in classical Banach spaces

Tilings and coverings by balls in $ℓ_{1}$