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 2018Show all

3 papers · 1 filter

math.FA2018★ 10 cited

Continuous projections onto ideal convergent sequences

Paolo Leonetti

Let $I \subseteq P (ω)$ be a meager ideal. Then there are no continuous projections from $ℓ_{\infty}$ onto the set of bounded sequences which are $I$ -co…

math.CA2018

Convergence Rates of Subseries

Paolo Leonetti

Let $(x_{n})$ be a positive real sequence decreasing to $0$ such that the series $\sum_{n} x_{n}$ is divergent and $lim inf_{n} x_{n + 1} / x_{n} > 1/2$ . We show that there exists a constant $θ\…

math.GN2018

Limit points of subsequences

Paolo Leonetti

Let $x$ be a sequence taking values in a separable metric space and $I$ be a generalized density ideal or an $F_{σ}$ -ideal on the positive integers (in particular, $\mathca…