On remotality for convex sets in Banach spaces
Functional Analysis
2010-01-29 v1
Abstract
We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal.
Keywords
Cite
@article{arxiv.0909.1992,
title = {On remotality for convex sets in Banach spaces},
author = {Miguel Martin and T. S. S. R. K. Rao},
journal= {arXiv preprint arXiv:0909.1992},
year = {2010}
}
Comments
5 pages, to appear in the Journal of Approximation Theory