Israel Journal of Mathematics

, Volume 5, Issue 3, pp 145–152 | Cite as

Neighborhoods of extreme points

  • I. Namioka
Article

Abstract

An examination of relationship between two neighborhood systems (relative to two linear topologies) of extreme points yields a unified approach to some known and new results, among which are Bessaga-Pełczyński’s theorem on closed bounded convex subsets of separable conjugate Banach spaces and Ryll-Nardzewski’s fixed point theorem.

Keywords

Banach Space Convex Hull Extreme Point Convex Subset Separable Banach Space 
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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References

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    M. A. Rieffel,Dentable subsets of Banach spaces, with application to a Radon-Nikodym theorem. (to appear)Google Scholar

Copyright information

© Hebrew University 1967

Authors and Affiliations

  • I. Namioka
    • 1
  1. 1.University of WashingtonSeattle

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