MA5012 Operator Theory - Sommersemester 2018
- Lectures: Simone Warzel
- Exercises: Per von Soosten
Time and Location
- Lectures: Tue 14:15-15:45 in MI 03.06.011 and Th 12:15-13:45 in MI 03.08.011
- Exercises: Mon 12:15-13:45 in MW 0337.
Exams
- The repeat exam will take place in written form on Friday, October 12th from 11:30-13:00 in MI 03.06.011. As before, you will be allowed to take a two-sided handwritten DIN A4 sheet of notes with you.
- We will have a written exam on Monday, July 30th from 11:30-13:00 in MI 03.06.011. You will be allowed to take a two-sided handwritten DIN A4 sheet of notes with you.
Announcements
- There will be no lecture on Thursday, June 7th. We will be doing overtime the following weeks.
- There will be no exercises during the week 21.5 - 27.5 due to Bavarian holidays.
- On Monday, April 30th there will be a lecture instead of the exercise class from 12:15-13:45 in MW 0337. May 1st is a Bavarian holiday, so the next exercise class will take place on Thursday, May 3rd from 12:15-13:45 in MI 03.08.011.
Prerequisites
- Functional analysis [MA3001]
- Complex analysis [MA2006/MA2008]
Contents
- This course is an e-learning course. More information, course material, and exercises will be posted on moodle.
- Topics: Banach algebras and their spectral theory; trace class and Hilbert Schmidt operators; spectral theorem in Hilbert spaces; unbounded operators
- Summary: The central topic of the lecture will be spectral theory and spectral calculus. This is an indispensable technique for the analysis of solutions of linear evolution equations which arise in many applications ranging from mathematical physics and biology to engineering. The course will closely follow Peter Lax's book on Functional Analysis. We will start from the spectral theory and analytic functional calculus in Banach algebras and will descend to the theory of self-adjoint unbounded operators in a Hilbert space. In the course of the lecture, applications of these techniques with an emphasis on the area of mathematical physics will be covered.
Course Book
- Peter D. Lax: Functional Analysis (Wiley, 2002)