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Israel Journal of Mathematics

, Volume 36, Issue 1, pp 41–49 | Cite as

AnF-space with trivial dual where the Krein-Milman theorem holds

  • N. J. Kalton
Article

Abstract

We show that in certain non-locally convex Orlicz function spacesL ϕ with trivial dual every compact convex set is locally convex and hence the Krein-Milman theorem holds. This complements the example constructed by Roberts of a compact convex set without extreme points inL p (0<p<1) and answers a question raised by Shapiro.

Keywords

Extreme Point Compact Convex Orlicz Space Convex Space Studia Math 
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.

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Copyright information

© Hebrew University 1980

Authors and Affiliations

  • N. J. Kalton
    • 1
  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA

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