J. Somaglia

activity

20142026

most citedAlmost overcomplete and almost overtotal sequences in Banach spaces

14 citations · 46 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.FA2026

Polyhedral normed spaces: the structural theorem and locally finite tilings

Carlo Alberto De Bernardi, Helena del Rìo, Tommaso Russo +1

A fundamental result due to Fonf (1981) asserts that the unit sphere of every polyhedral Banach space is covered by true faces of the unit ball. The principal aim of our paper is t…

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

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…

Polyhedral normed spaces: the structural theorem and locally finite tilings

Tilings and coverings by balls in ℓ1​

Packings in classical Banach spaces

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