Functions of bounded variation from ideal perspective
Functional Analysis
2025-01-06 v2
Abstract
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 from the theory of ideals on the set of natural numbers.
Keywords
Cite
@article{arxiv.2407.02618,
title = {Functions of bounded variation from ideal perspective},
author = {Jacek Gulgowski and Adam Kwela and Jacek Tryba},
journal= {arXiv preprint arXiv:2407.02618},
year = {2025}
}