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# VIGRE seminar, Spring 2003: Invariant Subspace Theory

**Instructor:** Carl Pearcy
**Students Enrolled:** Ryan Thomas (undergrad math) and Radu
Dascaliuc, Sami Hamid, Luan Hoang, Amir Husain, Constantine Onica,
Nirin Randrianarivony (grad students in math).

**Description**
- Both graduate and undergraduate students are invited to enroll
in the course, which is entitled "The invariant subspace problem
for operators on Hilbert space". The prerequisites are a course in
linear algebra and a course in the topology of metric spaces. I
will spend the first few weeks (if necessary) talking about the
background material necessary to understand the problem. Next, I
will present certain techniques for producing invariant subspaces
for certain classes of operators. Then we will discuss these
techniques and consider several open, research problems involving
these techniques. I hope that some of the students will make
progress on some of these problems, and their results will be
presented to the class. This should take us through the
semester.