Approximate smoothness in normed linear spaces
Functional Analysis
2022-11-08 v2
Abstract
We introduce the notion of approximate smoothness in a normed linear space. We characterize this property and show the connections between smoothness and approximate smoothness for some spaces. As an application, we consider in particular the Birkhoff-James orthogonality and its right-additivity under the assumption of approximate smoothness.
Cite
@article{arxiv.2109.11884,
title = {Approximate smoothness in normed linear spaces},
author = {Jacek Chmieliński and Divya Khurana and Debmalya Sain},
journal= {arXiv preprint arXiv:2109.11884},
year = {2022}
}