A+ CATEGORY SCIENTIFIC UNIT

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

Volume 79 / 2008

Maciej Burnecki Banach Center Publications 79 (2008), 53-55 MSC: Primary 46E30; Secondary 47B37. DOI: 10.4064/bc79-0-3

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 $1\le p<\infty$.

Authors

  • Maciej BurneckiInstitute of Mathematics and Computer Science
    Wroc/law University of Technology
    Wybrze/ze Wyspia/nskiego 27
    50-370 Wroc/law, Poland
    e-mail

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