Equilateral sets in Banach spaces of the form C(K)

Sophocles K. Mercourakis, and Georgios Vassiliadis. "Equilateral sets in Banach spaces of the form C(K)." Studia Mathematica 231.3 (2015): 241-255. <http://eudml.org/doc/285898>.

@article{SophoclesK2015,
abstract = {We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.},
author = {Sophocles K. Mercourakis, Georgios Vassiliadis},
journal = {Studia Mathematica},
keywords = {equilateral set; maximal equilateral set; linked family},
language = {eng},
number = {3},
pages = {241-255},
title = {Equilateral sets in Banach spaces of the form C(K)},
url = {http://eudml.org/doc/285898},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Sophocles K. Mercourakis
AU - Georgios Vassiliadis
TI - Equilateral sets in Banach spaces of the form C(K)
JO - Studia Mathematica
PY - 2015
VL - 231
IS - 3
SP - 241
EP - 255
AB - We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.
LA - eng
KW - equilateral set; maximal equilateral set; linked family
UR - http://eudml.org/doc/285898
ER -