Complete sets and completion of sets in Banach spaces
Metric Geometry
2013-08-06 v1 Functional Analysis
Abstract
In this paper we study properties of complete sets and of completions of sets in Banach spaces. We consider the family of completions of a given set and its size; we also study in detail the relationships concerning diameters, radii, and centers. The results are illustrated by several examples.
Cite
@article{arxiv.1308.0789,
title = {Complete sets and completion of sets in Banach spaces},
author = {Horst Martini and Pier Luigi Papini and Margarita Spirova},
journal= {arXiv preprint arXiv:1308.0789},
year = {2013}
}