News
Lecture on May 21 in SR 6Written on 10.05.24 by Michael Hartz The lecture on May 21 will take place in SR 6 (as opposed to HS 4). |
No lecture on May 14Written on 07.05.24 by Michael Hartz There will be no lecture on May 14 because of the conference on spaces of analytic functions and their operators. Everyone is welcome to attend some talks at the conference. |
Operator Algebras
Dates and times
Lecture
Tuesday, 16:00-17:30, HS 4, Building E 2 4
Tutorial
Friday, 12:15-13:45, seminar room 5.
You may submit the solutions for the assignments in teams of up to three people.
Contents
This course is an introduction to the theory of algebras of operators on Hilbert space. Operator algebras lead to insights into the structure of single operators on Hilbert space. Moreover, they are also a fascinating topic in their own right, which has implications to group theory and mathematical physics.
Topics covered:
- Gelfand theory of commutative Banach and C^*-algebras
- States and the GNS construction
- Addenda about locally convex spaces: duality, extreme points and Krein-Milman theorem
- von Neumann algebras
Prerequisites
Functional Analysis
Exam
There will be an oral exam at the end of the semester. In order to be eligible for the exam, you have to achieve at least 50% of the available points on the assignments.
Literature
See here