Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis


Autoria(s): Rychter, Jan
Data(s)

12/11/2009

12/11/2009

2000

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

http://hdl.handle.net/10525/425

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