T. Russo

collaborators

4 papers

math.FA2026

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

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

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

math.FA2026

Packings in classical Banach spaces

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

We obtain several new results on the simultaneous packing and covering constant $I^^{3} (X)$ of a Banach space $X$ , and its lattice counterpart $Î³^*(\mathcal{X})$.…

math.FA2025

Norming Markushevich bases: recent results and open problems

Petr HÃ¡jek, Tommaso Russo

We survey several results concerning norming Markushevich bases (M-bases, for short), focusing in particular on two recent examples of a weakly compactly generated Banach space wit…

math.FA2025

Lattice tilings of Hilbert spaces

Carlo Alberto De Bernardi, Tommaso Russo, Jacopo Somaglia

We construct a bounded and symmetric convex body in $ℓ_{2} (I^)$ (for certain cardinals $I^$ ) whose translates yield a tiling of $ℓ_{2} (I^)$ . This answers a question due to Fonf a…

Tilings and coverings by balls in ℓ1​

Packings in classical Banach spaces

Norming Markushevich bases: recent results and open problems

Lattice tilings of Hilbert spaces

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