Equilateral sets in Banach spaces of the form $C(K)$
Studia Mathematica, Tome 231 (2015) no. 3, pp. 241-255
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
compact nonmetrizable spaces unit ball banach space contains uncountable equilateral set examples compact nonmetrizable spaces minimum cardinality maximal equilateral set countable
Affiliations des auteurs :
Sophocles K. Mercourakis 1 ; Georgios Vassiliadis 1
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author = {Sophocles K. Mercourakis and Georgios Vassiliadis},
title = {Equilateral sets in {Banach} spaces of the form $C(K)$},
journal = {Studia Mathematica},
pages = {241--255},
publisher = {mathdoc},
volume = {231},
number = {3},
year = {2015},
doi = {10.4064/sm8259-1-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8259-1-2016/}
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Sophocles K. Mercourakis; Georgios Vassiliadis. Equilateral sets in Banach spaces of the form $C(K)$. Studia Mathematica, Tome 231 (2015) no. 3, pp. 241-255. doi: 10.4064/sm8259-1-2016
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