Functional Analysis (Winter Semester 2007/08)
- Lecturer: Prof. Dr. Lutz Weis
- Classes: Lecture (1048), Problem class (1049)
- Weekly hours: 4+2
| Schedule | ||
|---|---|---|
| Lecture: | Tuesday 9:45-11:15 | Neuer Hörsaal |
| Friday 9:45-11:15 | Plank-Hörsaal | |
| Problem class: | Thursday 15:45-17:15 | Neuer Hörsaal |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Lutz Weis | |
| Office hours: | ||
| Room 2.047 Kollegiengebäude Mathematik (20.30) | ||
| Email: lutz.weis@kit.edu | Problem classes | Dr. Christoph Kriegler |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: christoph.kriegler@kit.edu | ||
Abstract
In this class we give an introduction to the theory of linear operators on Banach spaces.
In particular we consider spaces of continuous and integrable functions and integral operators on such spaces. Since these spaces are infinite dimensional careful considerations of convergence and compactness in Banach spaces are necessary.
In the case of Hilbert space (spaces with an inner product) one obtains elegant generalizations of the theory of euclidean spaces known from Linear Algebra and Analysis courses.
In many ways functional analysis provides basic concepts and methods used in advanced classes on partial differential equations, numerical analysis or stochastics. We also plan to offer a sequel to this course in the summer semester 08.
For the exercise sessions (exercise sheets, etc.), click here.
Examination
Exam: expected period
07.04.2008 to 09.04.2008 (oral exam)
Registration: 01.02.08 - 15.02.08 in office 212 (Mrs Basmer).
References
- D. Werner: Funktionalanalysis. Springer.
- H.W. Alt: Lineare Funktionalanalysis. Springer.
- J.B. Conway: A Course in Functional Analysis. Springer.