Measures of non-compactness in Orlicz modular spaces.

Aksoy, A. G., and Baillon, J.-B.. "Measures of non-compactness in Orlicz modular spaces.." Collectanea Mathematica 44.1-2-3 (1993): 1-11. <http://eudml.org/doc/39607>.

@article{Aksoy1993,
abstract = {In this paper we show that the ball-measure of non-compactness of a norm bounded subset of an Orlicz modular space L-Psi is equal to the limit of its n-widths. We also obtain several inequalities between the measures of non-compactness and the limit of the n-widths for modular bounded subsets of L-Psi which do not have Delta-2-condition. Minimum conditions on Psi to have such results are specified and an example of such a function Psi is provided.},
author = {Aksoy, A. G., Baillon, J.-B.},
journal = {Collectanea Mathematica},
keywords = {Espacio de Orlicz; Espacios de funciones; Funciones modulares; Compacidad; ball measure of non-compactness of a norm bounded subset of an Orlicz modular space; -widths; -condition},
language = {eng},
number = {1-2-3},
pages = {1-11},
title = {Measures of non-compactness in Orlicz modular spaces.},
url = {http://eudml.org/doc/39607},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Aksoy, A. G.
AU - Baillon, J.-B.
TI - Measures of non-compactness in Orlicz modular spaces.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 1
EP - 11
AB - In this paper we show that the ball-measure of non-compactness of a norm bounded subset of an Orlicz modular space L-Psi is equal to the limit of its n-widths. We also obtain several inequalities between the measures of non-compactness and the limit of the n-widths for modular bounded subsets of L-Psi which do not have Delta-2-condition. Minimum conditions on Psi to have such results are specified and an example of such a function Psi is provided.
LA - eng
KW - Espacio de Orlicz; Espacios de funciones; Funciones modulares; Compacidad; ball measure of non-compactness of a norm bounded subset of an Orlicz modular space; -widths; -condition
UR - http://eudml.org/doc/39607
ER -