20 citations · 109 across the 55 of their papers we have counts for
9 papers · 1 filter
Almost all sets of nonnegative integers and their small perturbations are not sumsets
Paolo Leonetti
Fix . We show that, from a topological point of view, almost all sets have the property that, if for all but elements, t…
On the density of sumsets, II
Paolo Leonetti, Salvatore Tringali
Arithmetic quasi-densities are a large family of real-valued set functions partially defined on the power set of , including the asymptotic density, the Banach density,…
Expected multi-utility representations of preferences over lotteries
Paolo Leonetti
Let be a binary relation on the set of simple lotteries over a countable outcome set . We provide necessary and sufficient conditions on to guarantee the e…
Representations of cones and applications to decision theory
Paolo Leonetti, Giulio Principi
Let be a cone in a locally convex Hausdorff topological vector space containing . We show that there exists a (essentially unique) nonempty family of nonem…
On some locally convex FK spaces
Paolo Leonetti, Cihan Orhan
We provide necessary and/or sufficient conditions on vector spaces of real sequences to be a Fréchet space such that each coordinate map is continuous, that is, to be a locally…
A Characterization of the Vector Lattice of Measurable Functions
Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni
Given a probability measure space , it is well known that the Riesz space of equivalence classes of measurable functions is universally comp…