Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis
Data(s) |
12/11/2009
12/11/2009
2000
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Resumo |
*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the author’s MSc thesis written under the supervison of Professor V. Zizler. It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction. |
Identificador |
Serdica Mathematical Journal, Vol. 26, No 4, (2000), 353p-358p 1310-6600 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Unconditional Basis #Uniformly Gateaux Smooth Norms #Uniform Eberlein Compacts #Uniform Rotundity In Every Direction |
Tipo |
Article |