Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
Data(s) |
29/11/2009
29/11/2009
1996
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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 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Gâteaux-Smoothness #Renormings #Representable Banach Spaces |
Tipo |
Article |