20 citations · 20 across the 2 of their papers we have counts for
3 papers
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.FA2013
Nonseparable spaceability and strong algebrability of sets of continuous singular functions
Marek Balcerzak, Artur Bartoszewicz, Malgorzata Filipczak
Let CBV denote the Banach algebra of all continuous real-valued functions of bounded variation, defined in [0,1]. We show that the set of strongly singular functions in CBV is nons…
math.RA2012★ 20 cited
Large free linear algebras of real and complex functions
Artur Bartoszewicz, Szymon Gł\cab, Adam Paszkiewicz
Let be a set of cardinality such that . We prove that the linear algebra (or ) contains a free linear algebra with generators. Usi…