An operator characterization of $L^p$-spaces in a class of Orlicz spaces

Maciej Burnecki. "An operator characterization of $L^p$-spaces in a class of Orlicz spaces." Banach Center Publications 79.1 (2008): 53-55. <http://eudml.org/doc/281852>.

@article{MaciejBurnecki2008,
abstract = {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 $L^p$-space for some 1 ≤ p < ∞.},
author = {Maciej Burnecki},
journal = {Banach Center Publications},
keywords = {measurable transformation; -space; Orlicz space; bounded linear operator},
language = {eng},
number = {1},
pages = {53-55},
title = {An operator characterization of $L^p$-spaces in a class of Orlicz spaces},
url = {http://eudml.org/doc/281852},
volume = {79},
year = {2008},
}

TY - JOUR
AU - Maciej Burnecki
TI - An operator characterization of $L^p$-spaces in a class of Orlicz spaces
JO - Banach Center Publications
PY - 2008
VL - 79
IS - 1
SP - 53
EP - 55
AB - 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 $L^p$-space for some 1 ≤ p < ∞.
LA - eng
KW - measurable transformation; -space; Orlicz space; bounded linear operator
UR - http://eudml.org/doc/281852
ER -