Approximation spaces, greedy classes and Lorentz spaces
Functional Analysis
2025-02-17 v4
Abstract
We characterize the approximation spaces of a broad class of bases - which includes almost greedy bases - in terms of weighted Lorentz spaces. For those bases, we also find necessary and sufficient conditions under which the approximation spaces and greedy classes are the same.
Cite
@article{arxiv.2411.13678,
title = {Approximation spaces, greedy classes and Lorentz spaces},
author = {Miguel Berasategui and Pablo M. Berná and Andrea García},
journal= {arXiv preprint arXiv:2411.13678},
year = {2025}
}
Comments
V3: We corrected and improved Lemma 3.7, and adjusted the related results accordingly. V4: We added the Chebyshev-Greedy classes, and fixed some typos