[Banach] Abstract of a paper by S.K. Mercourakis and G. Vassiliadis

This is an announcement for the paper "Equilateral Sets in Banach Spaces of th form C(K)" by S.K. Mercourakis and G. Vassiliadis.

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.

Archive classification: math.FA math.GN

Mathematics Subject Classification: Primary 46B20, 46E15, Secondary 46B26, 54D30

Remarks: 17 pages, overlap with arxiv: 1111.2273 v1

Submitted from: smercour@math.uoa.gr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1501.06381

or

http://arXiv.org/abs/1501.06381