Equilateral Sets in Banach Spaces of th form C(K)

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.

17 pages, overlap with arxiv: 1111.2273 v1

References in corpus (1)

• A lower bound for the equilateral number of normed spaces

Cited by in corpus (1)

• Uncountable sets of unit vectors that are separated by more than 1