Israel Journal of Mathematics

, Volume 20, Issue 3–4, pp 237–259 | Cite as

On the Orlicz function spacesL M (0, ∞)

  • Niels Jørgen Nielsen


The isomorphic properties of the Orlicz function spacesL M (0, ∞) are investigated. Especially we treat the question, whether theL p-spaces are the only symmetric function spaces on (0, ∞), which are isomorphic to a symmetric function space on (0, 1). For the class of slowly varying Orlicz functions we answer this in the affirmative, and we also prove some results concerning the general case, which indicate, that it might be true there also.


Function Space Orlicz Space Orlicz Function Unit Vector Basis Disjoint Support 
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Copyright information

© Hebrew University 1975

Authors and Affiliations

  • Niels Jørgen Nielsen
    • 1
  1. 1.Department of MathematicsOdense UniversityOdenseDenmark

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