Instructor
Date
Friday 09:45—11:15, Room 3C-11
General information
2 hours/week, class number 0175200
The seminar will be held as a reading course. The participants are required to read the assigned sections before the next seminar. For each class, one participant is responsible to explain the material in detail.
Literature
- Haim Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, 2011
Schedule
| No | Date | Topic | Responsible |
|---|---|---|---|
| 1 | 6.5 | Analytic and geometric forms of the Hahn-Banach theorem (Sections 1.1 and 1.2) | Abdullah Demirel |
| 2 | 13.5. | Hahn-Banach, second geometric form, bidual, conjugate convex functions (until p. 13 before Theorem 1.11) | Bilal Haddou-Temsamani |
| 3 | 20.5. | Fenchel-Moreau Theorem 1.12, exercises and examples | Tomislav Pazur |
| 4 | 27.5. | Chapter 1, exercises and examples | Tomislav Pazur |
| 5 | 3.6. | Baire category theorem, uniform boundedness principle, open mapping theorem (Sections 2.1–2.3) | Tanja Göckler |
| 6 | 10.6. | Complementary subspaces, orthogonality revisited, unbounded operators (Sections 2.4–2.5) | Julia Schweitzer |
| 7 | 8.7. | Unbounded linear operators (Sections 2.6–2.7) | Anke Wortmann |
| 8 | tba | Chapter 2, exercises and examples |