Monday, March 10
Davidson Lecture Hall at Claremont McKenna, 3:00 PM
Title: Cyclic and common cyclic vectors for unitary operators
Abstract: In this talk, we examine unitary multiplication operators on the L^2 spaces of measures on the circle. In particular, we examine when these operators are cyclic and when collections of these operators have common cyclic vectors. The techniques used here are classical and only a basic knowledge of real analysis (measure theory, singular and absolutely continuous functions, L^2 spaces) is needed to appreciate this talk.