Israel Journal of Mathematics

, Volume 10, Issue 3, pp 379–390 | Cite as

On orlicz sequence spaces

  • J. Lindenstrauss
  • L. Tzafriri


It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.


Banach Space ORLICZ Space Unconditional Basis Orlicz Function Unit Vector Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Y. Gribanov,On the theory of l M spaces, Ucen. Zap. Kazansk. un-ta117, (1957), 62–65 (Russian).Google Scholar
  2. 2.
    M. A. Krasnoselskii and Ya. B. Rutickii,Convex Functions and Orlicz Spaces, Groningen (The Netherlands), 1961 (translated from Russian).Google Scholar
  3. 3.
    K. J. Lindberg,Contractive projections in Orlicz sequence spaces and continuous function spaces, Ph.D. thesis, University of California, Berkeley, 1970.Google Scholar
  4. 4.
    J. Lindenstrauss,Some aspects of the theory of Banach spaces, Advances in Math.5 (1970) 159–180.zbMATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    J. Lindenstrauss and M. Zippin,Banach spaces with a unique unconditional basis, J. Functional Analysis3 (1969), 115–125.zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    V. D. Milman,Geometric theory of Banach spaces I, Russian Math. Surveys25 (1970) 111–170.CrossRefGoogle Scholar
  7. 7.
    A. Pełczyński,On the isomorphism of the spaces m and M, Bull. Acad. Polon. Sci.6 (1958), 695–696.Google Scholar
  8. 8.
    I. Singer,Bases in Banach Spaces I, Springer Verlag, 1970.Google Scholar
  9. 9.
    M. Zippin,On perfectly homogeneous bases in Banach spaces, Israel J. Math.4 (1966), 265–272.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew Univeristy 1971

Authors and Affiliations

  • J. Lindenstrauss
    • 1
  • L. Tzafriri
    • 1
  1. 1.The Hebrew University of JerusalemIsrael

Personalised recommendations