Title：Irreducible operators in von Neumann factors
Speaker：Rui Shi(Dalian University of Technology)
Time：15:00-16:00, October26
Location：Room 201, Ming De Building
Abstract：Let B(H) denote the set of bounded linear operators on a complex separable Hilbert space H. A starting point of research on irreducible operators is due to Halmos about the density of irreducible operators in the operator norm topology. Since then there are many related works about irreducible and reducible operators. Note that B(H) is a properly infinite, type I factor von Neumann algebra. A natural question is what we can say about irreducible and reducible operators in each type of factor von Neumann algebras. In this talk, we consider several related problems about irreducible and reducible operators in factor von Neumann algebras.
