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

• Autorzy: Sophocles K. Mercourakis , Georgios Vassiliadis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 54D30: Compactness
• 46B20: Geometry and structure of normed linear spaces
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 231
• Numer: 3
• Strony: 241-255

Daty

wydano

2015

Twórcy

autor

Sophocles K. Mercourakis

• Department of Mathematics, Athens University, 15784 Athens, Greece

autor

Georgios Vassiliadis

• Department of Mathematics, Athens University, 15784 Athens, Greece

Identyfikatory

DOI

10.4064/sm8259-1-2016