Reflexive subspaces of some Orlicz spaces
Emmanuelle Lavergne
Colloquium Mathematicae, Tome 111 (2008), p. 333-340 / Harvested from The Polish Digital Mathematics Library
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We show that when the conjugate of an Orlicz function ϕ satisfies the growth condition Δ⁰, then the reflexive subspaces of Lϕ are closed in the L¹-norm. For that purpose, we use (and give a new proof of) a result of J. Alexopoulos saying that weakly compact subsets of such Lϕ have equi-absolutely continuous norm.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284082 
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Emmanuelle Lavergne. Reflexive subspaces of some Orlicz spaces. Colloquium Mathematicae, Tome 111 (2008) pp. 333-340. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-13/