Representable Banach Spaces and Uniformly Gateaux-Smooth Norms


Autoria(s): Frontisi, Julien
Data(s)

29/11/2009

29/11/2009

1996

Resumo

It is proved that a representable non-separable Banach space does not admit uniformly Gâteaux-smooth norms. This is true in particular for C(K) spaces where K is a separable non-metrizable Rosenthal compact space.

Identificador

Serdica Mathematical Journal, Vol. 22, No 1, (1996), 33p-38p

1310-6600

http://hdl.handle.net/10525/597

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Gâteaux-Smoothness #Renormings #Representable Banach Spaces
Tipo

Article