A new proof of James' Sup Theorem

• Autores: Marianne Morillon
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 20, Nº 3, 2005, págs. 261-272
• Idioma: inglés
• Títulos paralelos:
  • Una nueva demostración del teorema del supremo de James
• Enlaces
  • Texto completo  1    2 (pdf) 
• Resumen

  • We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson : "If a normed space E does not contain any asymptotically isometric copy of `1, then every bounded sequence of E0 has a normalized `1-block sequence pointwise converging to 0".