Cyclic and common cyclic vectors for unitary operators

03/10/2008 - 3:00pm
03/10/2008 - 4:00pm
Bill Ross (University of Richmond)

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.

Davidson Lecture Hall at Claremont McKenna