Functional Analysis (Winter Semester 2010/11)
- Lecturer: Dr. Agnes Radl
- Classes: Lecture (1048), Problem class (1049)
- Weekly hours: 4+2
Exam Results
The results of the examination are published next to room 3A-17 in the Allianz building.
Lecture Notes
The password to open the file was given in the lecture. If you forgot the password feel free to contact me.
| Schedule | ||
|---|---|---|
| Lecture: | Tuesday 9:45-11:15 | Nusselt-Hörsaal |
| Thursday 11:30-13:00 | Hertz-Hörsaal | |
| Problem class: | Friday 14:00-15:30 | Eiermann |
| Lecturers | ||
|---|---|---|
| Lecturer | Dr. Agnes Radl | |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: agra@fa.uni-tuebingen.de | ||
The lecture covers fundamental aspects of linear functional analysis.
Topics:
- metric spaces, Banach spaces, bounded linear operators
- main principles of functional analysis (Hahn-Banach theorem, principle of uniform boundedness, closed graph theorem)
- weak convergence, Banach-Alaoglu theorem
- Hilbert spaces
- Fourier transform
Exercise sheets
Exercise sheet 1
Exercise sheet 2
Exercise sheet 3
Exercise sheet 4
Exercise sheet 5
Exercise sheet 6
Exercise sheet 7
Exercise sheet 8
Exercise sheet 9
Exercise sheet 10
Exercise sheet 11
Exercise sheet 12
Exercise sheet 13
Exercise sheet 14
References
- H.W. Alt: Lineare Funktionalanalysis, Springer 2002.
- J.B. Conway: A Course in Functional Analysis, Springer 1990.
- H. Heuser: Funktionalanalysis, Teubner 2006.
- S. Lang: Real and Functional Analysis, Springer 1993.
- P.D. Lax: Functional Analysis, Wiley 2002.
- M. Reed, B. Simon: Methods of Modern Mathematical Physics: Functional analysis, Academic Press 1980.
- W. Rudin: Functional Analysis, McGraw-Hill 1991.
- B.P. Rynne, M.A. Youngson: Linear Functional Analysis, Springer 2008.
- M. Schechter: Principles of Functional Analysis, Academic Press 1973.
- S. Shirali, H.L. Vasudeva: Metric Spaces, Springer 2006.
- A.E. Taylor, D.C. Lay: Introduction to functional analysis, Wiley 1980.
- D. Werner: Funktionalanalysis, Springer 2007.