Reflexive subspaces of some Orlicz spaces

Emmanuelle Lavergne. "Reflexive subspaces of some Orlicz spaces." Colloquium Mathematicae 113.2 (2008): 333-340. <http://eudml.org/doc/284082>.

@article{EmmanuelleLavergne2008,
abstract = {We show that when the conjugate of an Orlicz function ϕ satisfies the growth condition Δ⁰, then the reflexive subspaces of $L^ϕ$ 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 $L^ϕ$ have equi-absolutely continuous norm.},
author = {Emmanuelle Lavergne},
journal = {Colloquium Mathematicae},
keywords = {Orlicz spaces; reflexive subspaces; equiabsolutely continuous norm},
language = {eng},
number = {2},
pages = {333-340},
title = {Reflexive subspaces of some Orlicz spaces},
url = {http://eudml.org/doc/284082},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Emmanuelle Lavergne
TI - Reflexive subspaces of some Orlicz spaces
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 333
EP - 340
AB - We show that when the conjugate of an Orlicz function ϕ satisfies the growth condition Δ⁰, then the reflexive subspaces of $L^ϕ$ 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 $L^ϕ$ have equi-absolutely continuous norm.
LA - eng
KW - Orlicz spaces; reflexive subspaces; equiabsolutely continuous norm
UR - http://eudml.org/doc/284082
ER -