P. Leonetti

activity

20122026

most citedOn the notions of upper and lower density

20 citations · 109 across the 55 of their papers we have counts for

collaborators

Showing 2025Show all

6 papers · 1 filter

math.CA2025

Can a small Gaussian perturbation break subadditivity?

Paolo Leonetti

Given an integer $a \geq 1$ , a function $f : R \to R$ is said to be $a$ -subadditive if $f (a x + y) \leq a f (x) + f (y) for all x, y \in R .$ Of cours…

math.FA2025

On uniform summability

Paolo Leonetti

Let $A$ be a nonempty set of infinite matrices of linear operators between two topological vector spaces. We show that a sequence is uniformly $A$ -summable if a…

math.FA2025

On the complexity of upper frequently hypercyclic vectors

Szymon Glab, Paolo Leonetti

Given a continuous linear operator $T : X \to X$ , where $X$ is a topological vector space, let $UFHC (T)$ be the set of upper frequently hypercyclic vectors, that is, the set…

math.FA2025

On generalized limits and ultrafilters

Paolo Leonetti, Cihan Orhan

Given an ideal $I$ on $ω$ , we denote by $SL (I)$ the family of positive normalized linear functionals on $ℓ_{\infty}$ which assign value $0$ to all cha…

math.GN2025

On maldistributed sequences and meager ideals

Paolo Leonetti

We show that an ideal $I$ on $ω$ is meager if and only if the set of sequences $(x_{n})$ taking values in a Polish space $X$ for which all elements of $X$ are $I$ …

math.FA2025

Completeness and additive property for submeasures

Jonathan M. Keith, Paolo Leonetti

Given an extended real-valued submeasure $ν$ defined on a field of subsets $Σ$ of a given set, we provide necessary and sufficient conditions for which the pseudometric $d_{ν}$ defin…