Equilateral Sets in Banach Spaces of th form C(K)
Functional Analysis
2015-01-27 v1 General Topology
Abstract
We show that for "most" compact non metrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact non metrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.
Keywords
Cite
@article{arxiv.1501.06381,
title = {Equilateral Sets in Banach Spaces of th form C(K)},
author = {S. K. Mercourakis and G. Vassiliadis},
journal= {arXiv preprint arXiv:1501.06381},
year = {2015}
}
Comments
17 pages, overlap with arxiv: 1111.2273 v1