Reflexive Spaces and Numerical Radius Attaining Operators

  1. Ruiz Galán, Manuel
  2. Acosta Vigil, María Dolores
Revista:
Extracta mathematicae

ISSN: 0213-8743

Año de publicación: 2000

Volumen: 15

Número: 2

Páginas: 247-256

Tipo: Artículo

Otras publicaciones en: Extracta mathematicae

Resumen

In this note we deal with a version of James' Theorem for numerical radius, which was already considered in [4]. First of all, let us recall that this well known classical result states that a Banach space satisfying that all the (bounded and linear) functionals attain the norm, has to be reflexive [16].