====== Curriculum ======

The main subjects of this course are complete normed vector spaces and bounded (continuous) linear operators. Highlights of the course include the following:

    
    * The open mapping theorem.
    * The closed graph theorem.
    * The Banach-Steinhaus theorem (the uniform boundedness principle).
    * The Hahn-Banach theorem.
    * Dual spaces.
    * Weak convergence.
    * The Banach-Alaoglu theorem.
    * The spectral theorem for bounded self-adjoint operators.

  * Literature: Erwin Kreyszig, Introductory functional analysis with applications, ISBN 0471504599.
  * [[http://www.ntnu.no/studies/courses/TMA4230|Official course description.]]