T. Russo

activity

20172026

most citedDense lineability and spaceability in certain subsets of

ℓ_{\infty}

12 citations · 66 across the 20 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022★ 1 cited

Smooth norms in dense subspaces of $ℓ_{p} (Γ)$ and operator ranges

Sheldon Dantas, Petr Hájek, Tommaso Russo

For $1 \leq p < \infty$ , we prove that the dense subspace $Y_{p}$ of $ℓ_{p} (Γ)$ comprising all elements $y$ such that $y \in ℓ_{q} (Γ)$ for some $q \in (0, p)$ admits a $C^{\i…

math.FA2022★ 12 cited

Dense lineability and spaceability in certain subsets of $ℓ_{\infty}$

Paolo Leonetti, Tommaso Russo, Jacopo Somaglia

We investigate dense lineability and spaceability of subsets of $ℓ_{\infty}$ with a prescribed number of accumulation points. We prove that the set of all bounded sequences with e…

math.FA2022★ 6 cited

Smooth and polyhedral norms via fundamental biorthogonal systems

Sheldon Dantas, Petr Hájek, Tommaso Russo

Let $X$ be a Banach space with a fundamental biorthogonal system and let $Y$ be the dense subspace spanned by the vectors of the system. We prove that $\mathcal…

Smooth norms in dense subspaces of ℓp​(Γ) and operator ranges

Dense lineability and spaceability in certain subsets of ℓ∞​

Smooth and polyhedral norms via fundamental biorthogonal systems

Smooth norms in dense subspaces of $ℓ_{p} (Γ)$ and operator ranges

Dense lineability and spaceability in certain subsets of $ℓ_{\infty}$