# Measures of non-compactness in Orlicz modular spaces.

Collectanea Mathematica (1993)

- Volume: 44, Issue: 1-2-3, page 1-11
- ISSN: 0010-0757

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topAksoy, 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 -