A Note on Preserved Smoothness


Autoria(s): Tang, Wee-Kee
Data(s)

29/11/2009

29/11/2009

1996

Resumo

* Supported by NSERC (Canada)

Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux differentiable at x if for every h ∈ SX(|| · ||), (∗) lim t→0 (||x + th|| − ||x||) / t exists. We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable at all x ∈ SX(|| · ||).

Identificador

Serdica Mathematical Journal, Vol. 22, No 1, (1996), 29p-32p

1310-6600

http://hdl.handle.net/10525/596

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Renormings #Gâteaux Differentiability #Octahedral Norms
Tipo

Article