Measures of non-compactness in Orlicz modular spaces.
Aksoy, A. G. ; Baillon, J.-B.
Collectanea Mathematica, Tome 44 (1993), p. 1-11 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1993-01-01
DMLE-ID : 231 
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     title = {Measures of non-compactness in Orlicz modular spaces.},
     journal = {Collectanea Mathematica},
     volume = {44},
     year = {1993},
     pages = {1-11},
     zbl = {0815.46025},
     mrnumber = {MR1280720},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39607}
}

Aksoy, A. G.; Baillon, J.-B. Measures of non-compactness in Orlicz modular spaces.. Collectanea Mathematica, Tome 44 (1993) pp. 1-11. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39607/