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Functional Analysis (Winter Semester 2007/08)

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: Friday, 11:45 to 13:15 and by appointment.
Room 2.042 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.