The Hahn-Banach Theorem and Optimization Problems

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


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.


Banach Space Topological Space Normed Space Dual Problem Linear Subspace 
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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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