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math.FA2016
Achievement sets of conditionally convergent series
Artur Bartoszewicz, Szymon Głab, Jacek Marchwicki
Considering the sets of subsums of series (or achievement sets) we show that for conditionally convergent series the multidimensional case is much more complicated than that of the…
math.FA2016
On the set of limit points of conditionally convergent series
Szymon Głab, Jacek Marchwicki
Let be a conditionally convergent series in a Banach space and let be a permutation of natural numbers. We study the set $\operatorname{LIM}(\sum_{n=1}^…