The lecture covers fundamental aspects of linear functional analysis.

Topics:

- metric spaces, Banach spaces

- main principles of functional analysis (Hahn-Banach theorem, principle of uniform boundedness, closed graph theorem)

- weak convergence, Banach-Alaoglu theorem

- Hilbert spaces

# Lecture Notes

Lecture Notes |

# IMPORTANT

On Friday, Feb. 1, 2013, the exercise class will take place at the usual time BUT in room Kleiner HS B, Building 30.22!

# Exercise Sheets

# Bonus Points

During the semester 3 bonus points for the exam can be obtained. For this one needs to achieve 50% of the points from Exercise Sheets 5 - 14.

# Examination

The examination will take place on Wednesday, March 20, 2013, at 14:00 - 16:00, in Tulla HS (Building 11.40).

Please register for the exam until Monday, March 18, 2013, via the QISPOS/Studierendenportal.

During the examination the use of two one-sided handwritten DIN A4 pages (or equivalenty, one double-sided handwritten DIN A4 page) is allowed.

The written examination will be **in English**!

The post-exam review ("Klausureinsicht") will take place on Wednesday, April 17, 2013, at 15:45-16:45 in room 1C-01 (Building 05.20).

# References

H. Brezis: Functional Analysis, Sobolev spaces and Partial Differential Equations, Springer 2011

D. Werner: Funktionalanalysis, Springer 2011