16 citations · 40 across the 20 of their papers we have counts for
24 papers
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…
Topological complexity of ideal limit points
Marek Balcerzak, Szymon Glab, Paolo Leonetti
Given an ideal on the nonnegative integers and a Polish space , let be the family of subsets such that is the set…
On strong algebrability of families of non-measurable functions of two variables
Szymon Głcab, Mateusz Lichman, Michał Pawlikowski
Recently Tomasz Natkaniec in [On lineability of families of non-measurable functions of two variable. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115(1):Paper No. 33…
Set of uniqueness for Cantorvals
Szymon Glab, Jacek Marchwicki
The main result is that the celebrated Guthrie-Nymann's Cantorval has comeager set of uniqueness. On the other hand many other Cantorvals have meager set of uniqueness.
On -saturated closed graphs
Szymon Głab, Przemysław Gordinowicz
Geschke proved that there is clopen graph on which is 3-saturated, but the clopen graphs on do not even have infinite subgraphs that are 4-saturated; however there is $…
Another characterization of meager ideals
Marek Balcerzak, Szymon Glab, Paolo Leonetti
We show that an ideal on the positive integers is meager if and only if there exists a bounded nonconvergent real sequence such that the set of subsequences [resp…