A. Wachowicz

activity

20162022

collaborators

3 papers

math.GN2022

Baire Category Lower Density Operators with Borel Values

Marek Balcerzak, Jacek Hejduk, Artur Wachowicz

We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class $Π_{3}^{0}$ which is analogous to the measure…

math.FA2018

Ideal convergent subseries in Banach spaces

Marek Balcerzak, Michał Popławski, Artur Wachowicz

Assume that $I$ is an ideal on $N$ , and $\sum_{n} x_{n}$ is a divergent series in a Banach space $X$ . We study the Baire category, and the measure of the set $A(\mat…

math.CA2016

Ideal convergent subsequences and rearrangements for divergent sequences of functions

Marek Balcerzak, Michał Popławski, Artur Wachowicz

Let $\I$ be an ideal on $N$ which is either analytic or coanalytic. Assume that $(f_{n})$ is a sequence of functions with the Baire property from a Polish space $X$ into a complete…