Fragmentability of the Dual of a Banach Space with Smooth Bump
Data(s) |
26/11/2009
26/11/2009
1998
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Resumo |
We prove that if a Banach space X admits a Lipschitz β-smooth bump function, then (X ∗ , weak ∗ ) is fragmented by a metric, generating a topology, which is stronger than the τβ -topology. We also use this to prove that if X ∗ admits a Lipschitz Gateaux-smooth bump function, then X is sigma-fragmentable. |
Identificador |
Serdica Mathematical Journal, Vol. 24, No 2, (1998), 187p-198p 1310-6600 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Smooth Bump #Fragmentability #Sigma-Fragmentability |
Tipo |
Article |