Some properties of the set of extreme points of the unit ball of a Banach space

  • M. I. Kadets
  • V. P. Fonf


In [1] it was proved that the unit ball of a reflexive Banach space has an uncountable set of extreme points. In this note it is shown that this set is also massive in some topological sense.


Banach Space Extreme Point Unit Ball Reflexive Banach Space Topological Sense 
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Literature cited

  1. 1.
    J. Lindenstrauss and R. Phelps, “Extreme point properties of convex bodies in reflexive Banach spaces,” Israel J. Math.,6, 39–48 (1968).Google Scholar
  2. 2.
    R. Phelps, Lectures on Choquet's Theorem, Van Nostrand, Princeton (1966).Google Scholar
  3. 3.
    W. B. Johnson and H. P. Rosenthal, “On w*-basic sequences and their applications to the study of Banach spaces,” Studia Math.,43, 77–92 (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • M. I. Kadets
    • 1
  • V. P. Fonf
    • 1
  1. 1.Special Design Bureau TurbogazmashinaUSSR

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