From the 1 of 15 linked papers with an AI index.
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Characterized subgroups on the unit circle
Rafal Filipow, Adam kwela, Paolo Leonetti +1
The paper investigates subgroups of the unit circle that can be described via convergence along an ideal, establishing complexity bounds, connections with ideal reductions, and con…
Completeness and additive property for submeasures
Jonathan M. Keith, Paolo Leonetti
Given an extended real-valued submeasure defined on a field of subsets of a given set, we provide necessary and sufficient conditions for which the pseudometric de…
On uniform summability
Paolo Leonetti
Let be a nonempty set of infinite matrices of linear operators between two topological vector spaces. We show that a sequence is uniformly -summable if a…
On the complexity of upper frequently hypercyclic vectors
Szymon Glab, Paolo Leonetti
Given a continuous linear operator , where is a topological vector space, let be the set of upper frequently hypercyclic vectors, that is, the set…
On generalized limits and ultrafilters
Paolo Leonetti, Cihan Orhan
Given an ideal on , we denote by the family of positive normalized linear functionals on which assign value to all ch…
Core equality of real sequences
Paolo Leonetti
Given an ideal on and a bounded real sequence , we denote by the smallest interval such that $\{n \in…