Winter semester 2018/19
Functional analysis I
News
General Information
Lecturer
Creditpoints
9 ECTS
First lecture
Tuesday, 2018-10-16, 2:15 pm, lecture hall IV
Appointments
New: Wednesdays, 2:00 pm, lecture hall I; New: Thursdays, 2:00 pm, lecture hall IV
Old: On Tuesdays and Thursdays, 2:00 pm, lecture hall IV
Old: On Tuesdays and Thursdays, 2:00 pm, lecture hall IV
Content
We give an introduction to functional analysis. We cover metric spaces, Banach spaces, Hilbert spaces, the theorem of Hahn-Banach, the open mapping theorem, the closed graph theorem, the uniform boundedness principle, duality and reflexivity, and the spectral theory for operators on Banach and Hilbert spaces.
Prerequisites
Analysis I-III, Linear Algebra I-II, Function Theory
Exams
Criteria
50% of the achievable points from
the exercise sheets; passing of an exam
Type of exam
Oral exam
Examination dates
13.02.2019, 14.02.2019 at 10-12
25.03.2019, 26.03.2019, 27.03.2019 at 10-12
25.03.2019, 26.03.2019, 27.03.2019 at 10-12
Registration
Via LSF
Exercises
Office hours
First office hour: 2018-10-25
| When | Where | Who |
|---|---|---|
| Wednesdays, 13:00-14:00 | Office (Room 2.20, E2 4) | Andreas Widenka |
| Thursdays, 13:00-14:00 | Office (Room 4.21, E2 4) | Dominik Schillo |
Exercises
| When | Where | Tutor |
|---|---|---|
| Wednesdays, 16:15-17:45 | Seminar room 1, E2 5 | Andreas Widenka |
Lecture
Lecture notes
Other material
Literature
- Heuser, Funktionalanalysis, Teubner
- Mathieu, Funktionalanalysis, Spektrum
- Meise, Vogt, Einführung in die Funktionalanalysis
- Rudin, Functional Anaysis, McGraw-Hill
- Schröder, Funktionalanalysis, Akademie Verlag
- Conway, A course in functional analysis, Springer
- Werner, Funktionalanalysis, Springer
- see also http://www.infomath-bib.de/tmp/vorlesungen/mathe-core_funktionalanalysisI-II.html