Ideal convergent subseries in Banach spaces

Marek Balcerzak, Michał Popławski, Artur Wachowicz

Assume that $\mathcal{I}$ is an ideal on $\mathbb{N}$, 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…