4 papers · 1 filter
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…
Properties of local orthonormal systems, Part III: Variation spaces
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
In [Y.~K.~Hu, K.~A.~Kopotun, X.~M.~Yu, Constr. Approx. 2000], the authors have obtained a characterization of best -term piecewise polynomial approximation spaces as real interp…
Compactness in the spaces of functions of bounded variation
Jacek Gulgowski
Recently the characterization of the compactness in the space of functions of bounded Jordan variation was given. Here, certain generalizations of this result are given…