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

Banach Center Publications (2008)

- Volume: 79, Issue: 1, page 53-55
- ISSN: 0137-6934

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topMaciej 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 -

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