We consider an embedding of the group of invertible transformations of [0,1] into the algebra of bounded linear operators on an Orlicz space. We show that if this embedding preserves the group action then the Orlicz space is an -space for some 1 ≤ p < ∞.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-3,
author = {Maciej Burnecki},
title = {An operator characterization of $L^p$-spaces in a class of Orlicz spaces},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {53-55},
zbl = {1144.46026},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-3}
}
Maciej Burnecki. An operator characterization of $L^p$-spaces in a class of Orlicz spaces. Banach Center Publications, Tome 83 (2008) pp. 53-55. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-3/