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Functional Analysis I

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Start of the lecture: Wednesday, 16.9.2015
Start of the exercise classes: Monday, 21.9.2015

Lecturer
Prof. Dietmar Salamon
Coordinator Theo Bühler

Extract

Baire category; Banach and Hilbert spaces, bounded linear operators; Three Fundamental Principles: Uniform Boundedness, Open Mapping/Closed Graph, Hahn-Banach; Convexity; Dual Spaces: weak and weak* topologies, Banach-Alaoglu, reflexive spaces; Ergodic Theorem; compact operators and Fredholm theory, Closed Image Theorem; Spectral theory, self-adjoint operators.

Lecture

Mondays 10 - 12 HG D 7.2
Wednesdays 8 - 10
HG G 3

Exercise Classes

Begins on September 21, 2015

Gruppe 1 Jonas Lührman Mondays 9-10
HG E 21
Gruppe 2 Charel Antony Mondays 9-10 HG F 26.3
Gruppe 3
Alexandru Paunoiu
Mondays 9-10
HG F 26.5
Gruppe 4 Francesco Palmurella Mondays 9-10 HG G 26.1

Exercise Sheets

Exercise sheets can be found here.

Recommended Literature

Lecture notes (pdf)

List of recommended books (pdf)

Unofficial lecture notes from Salamon's course in 2007 (pdf). These notes were written by students during the course.

 

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© 2016 Mathematics Department | Imprint | Disclaimer | 21 September 2015
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