Continuity properties of sequentially asymptotically center-complete spaces
Functional Analysis
2021-06-21 v1
Abstract
We obtain formulae to calculate the asymptotic center and radius of bounded sequences in spaces. We also study the existence of continuous selectors for the asymptotic center map in general Banach spaces. In Hilbert spaces, even a H\"older-type estimation is given.
Cite
@article{arxiv.1403.4646,
title = {Continuity properties of sequentially asymptotically center-complete spaces},
author = {C. Angosto and M. C. Listán-García and F. Rambla-Barreno},
journal= {arXiv preprint arXiv:1403.4646},
year = {2021}
}