6 citations · 16 across the 14 of their papers we have counts for
5 papers · 1 filter
Characterized subgroups on the unit circle
Rafal Filipow, Adam kwela, Paolo Leonetti +1
Given an ideal on , a subgroup of the unit circle is said to be -characterized if there exists an integer sequence …
Zoo of ideal Schauder basis
Adam Kwela, Jarosław Swaczyna
We investigate the notion of filter (equivalently: ideal) Schauder basis of a Banach space. We do so by providing bunch of new examples of such bases that are not the standard ones…
Compactness in spaces of functions of bounded variation from ideal perspective
Jacek Gulgowski, Adam Kwela, Jacek Tryba
Recently we have presented a unified approach to two classes of Banach spaces defined by means of variations (Waterman spaces and Chanturia classes), utilizing the concepts from th…
Functions of bounded variation from ideal perspective
Jacek Gulgowski, Adam Kwela, Jacek Tryba
We present a unified approach to two classes of Banach spaces defined with the aid of variations: Waterman spaces and Chanturia classes. Our method is based on some ideas coming fr…
Differentiability of continuous functions in terms of Haar-smallness
Adam Kwela, Wojciech Aleksander Wołoszyn
One of the classical results concerning differentiability of continuous functions states that the set of somewhere differentiable functions (i.e., functions which ar…