# 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.