Functional Analysis

  • Christopher Heil
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


In this chapter we survey the main theorems of functional analysis that deal with Banach spaces, including the Hahn–Banach, Baire Category, Uniform Boundedness, Open Mapping, and Closed Graph Theorems. References for additional information on this material (and sources for many of the proof that we give) include the texts by Conway [Con90], Folland [Fol99], and Rudin [Rud91].


Hilbert Space Banach Space Normed Space Weak Convergence Positive Operator 
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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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