A Note on Preserved Smoothness

Tang, Wee-Kee. "A Note on Preserved Smoothness." Serdica Mathematical Journal 22.1 (1996): 29-32. <http://eudml.org/doc/11626>.

@article{Tang1996,
abstract = {* 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(|| · ||).},
author = {Tang, Wee-Kee},
journal = {Serdica Mathematical Journal},
keywords = {Renormings; Gâteaux Differentiability; Octahedral Norms; separable Banach space; isomorphic copy of ; Gâteaux differentiable LUR norm},
language = {eng},
number = {1},
pages = {29-32},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Note on Preserved Smoothness},
url = {http://eudml.org/doc/11626},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Tang, Wee-Kee
TI - A Note on Preserved Smoothness
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 1
SP - 29
EP - 32
AB - * 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(|| · ||).
LA - eng
KW - Renormings; Gâteaux Differentiability; Octahedral Norms; separable Banach space; isomorphic copy of ; Gâteaux differentiable LUR norm
UR - http://eudml.org/doc/11626
ER -