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math.RA2013★ 5 cited
Strong c-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions
Artur Bartoszewicz, Marek Bienias, Malgorzata Filipczak +1
We present a useful technique of proving strong -algebrability. As an outcome we obtain the strong -algebrability of the following sets of functions: st…
math.CA2013★ 2 cited
Multigeometric sequences and Cantorvals
Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik
For a sequence , one can consider the achievement set of all subsums of series . It is known that is one 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…