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The Hahn–Banach Theorems

  • Adam BowersEmail author
  • Nigel J. Kalton (deceased)
Chapter
  • 3.5k Downloads
Part of the Universitext book series (UTX)

Abstract

Several theorems in functional analysis have been labeled as “the Hahn–Banach Theorem.” At the heart of all of them is what we call here the Hahn–Banach Extension Theorem, given in Theorem 3.4, below. This theorem is at the foundation of modern functional analysis, and its use is so pervasive that its importance cannot be overstated.

Keywords

Hahn-Banach Extension Theorem Modern Functional Analysis Sublinear Functionals Hausdorff Maximal Principle Orthogonal Operator 
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.

Copyright information

© Springer Science+Business Media, LLC 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, San DiegoLa JollaUSA
  2. 2.Department of MathematicsUniversity of Missouri, ColumbiaColumbiaUSA

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