Uniform Gâteaux smoothness of higher order on separable Banach spaces.

Bednarík, Dusan. "Uniform Gâteaux smoothness of higher order on separable Banach spaces.." Extracta Mathematicae 17.1 (2002): 69-95. <http://eudml.org/doc/38694>.

@article{Bednarík2002,
abstract = {The aim of this paper is to show, among other things, that, in separable Banach spaces, the presence of the smoothness with the highest derivative Lipschitzian implies the uniform Gâteaux smoothness of degree 1 up.},
author = {Bednarík, Dusan},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacios normados; Funciones diferenciables; Función lipschitziana; Espacios de funciones medibles; uniformly Gâteaux differentiable; bump function; Gâteaux differentiable; separable Banach spaces; equivalent norm},
language = {eng},
number = {1},
pages = {69-95},
title = {Uniform Gâteaux smoothness of higher order on separable Banach spaces.},
url = {http://eudml.org/doc/38694},
volume = {17},
year = {2002},
}

TY - JOUR
AU - Bednarík, Dusan
TI - Uniform Gâteaux smoothness of higher order on separable Banach spaces.
JO - Extracta Mathematicae
PY - 2002
VL - 17
IS - 1
SP - 69
EP - 95
AB - The aim of this paper is to show, among other things, that, in separable Banach spaces, the presence of the smoothness with the highest derivative Lipschitzian implies the uniform Gâteaux smoothness of degree 1 up.
LA - eng
KW - Espacios de Banach; Espacios normados; Funciones diferenciables; Función lipschitziana; Espacios de funciones medibles; uniformly Gâteaux differentiable; bump function; Gâteaux differentiable; separable Banach spaces; equivalent norm
UR - http://eudml.org/doc/38694
ER -