Content:
Functional analysis is the branch of mathematics dealing with the study of normalized (or general topological) vector spaces and continuous images between them. Analysis, topology and algebra are linked.
The lecture deals with Banach and Hilbert spaces, linear operators and functional as well as spectral theory of compact operators.

Target group:
Students from the 3rd/4th semester on.

Requirements:
Good command of the material of the lectures Analysis I/II and Linear Algebra I/II.

Literatur:

• Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
• Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X
• Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7