The Hahn-Banach Theorem and Optimization Problems

  • Eberhard Zeidler
Part of the Applied Mathematical Sciences book series (AMS, volume 109)

Abstract

The Hahn-Banach theorem is the most important theorem about the structure of linear continuous functionals on normed spaces. In terms of geometry, the Hahn-Banach theorem guarantees the separation of convex sets in normed spaces by hyperplanes. Figure 1.1 describes a number of important consequences of the Hahn-Banach theorem that will be studied in this chapter and the following one.

Keywords

Banach Space Topological Space Normed Space Dual Problem Linear Subspace 
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

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Eberhard Zeidler
    • 1
  1. 1.Max-Planck-Institut für Mathematik in den Naturwissenschaften LeipzigLeipzigGermany

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