I am happy to announce that in spring semester I will be teaching a “topics” course in operator theory here at the Technion. This course is a graduate course, and is suitable for anyone who took the graduate course in functional analysis and enjoyed it. This is not exactly a course in C*-algebras, and not exactly a course in operator theory, but rather very particular blend of operator theory and operator algebras that starts from very basic material but proceeds very quickly (covering “Everything one should know”), and by the end of the course I hope some of the students will be able to consider research in this area. The official information page is available here.
I might use this blog for posting information or even notes from time to time. Here is the first piece of important information:
I will assume that students taking the course know some basic Banach algebra theory, including commutative Banach and C*-algebras. If you are interested in taking the course, make sure you know this stuff. A good source from which you can refresh your memory is Arveson’s book “A Short Course on Spectral Theory”. Start reading at the start all the way up to Section 2.3.