Diameter two properties and polyhedrality

  • Ginés López-Pérez
  • Abraham Rueda ZocaEmail author
Original Paper


We study the (possible) relation between diameter two properties and various notions of polyhedrality. I-polyhedral spaces (being non-reflexive, M-embedded) have the strong diameter two property; however it turns out that even in II-polyhedral spaces the unit ball may contain slices of small diameter.


Polyhedral Banach spaces Diameter two property Slices 

Mathematics Subject Classification




The authors want to thank an anonymous referee for suggestions that improved the exposition.


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Copyright information

© Springer-Verlag Italia S.r.l. 2017

Authors and Affiliations

  1. 1.Departamento de Análisis Matemático, Facultad de CienciasUniversidad de GranadaGranadaSpain
  2. 2.Instituto de Matemáticas de la Universidad de Granada (IEMath-GR)GranadaSpain

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