Israel Journal of Mathematics

, Volume 24, Issue 3–4, pp 329–337 | Cite as

A banach lattice without the approximation property

  • A. Szankowski


A Banach latticeL without the approximation property is constructed. The construction can be improved so thatL is, in addition, uniformly convex. These results yield the existence of a uniformly convex Banach space with symmetric basis and without the uniform approximation property.


Banach Space Approximation Property Banach Lattice Orlicz Space Convex Space 
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Copyright information

© The Weizmann Science Press of Israel 1976

Authors and Affiliations

  • A. Szankowski
    • 1
  1. 1.Department of MathematicsUniversity of CopenhagenCopenhagenDenmark

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