Equilateral sets in Banach spaces of the form C(K)
Sophocles K. Mercourakis ; Georgios Vassiliadis
Studia Mathematica, Tome 231 (2015), p. 241-255 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285898 
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Sophocles K. Mercourakis; Georgios Vassiliadis. Equilateral sets in Banach spaces of the form C(K). Studia Mathematica, Tome 231 (2015) pp. 241-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8259-1-2016/