Analysis Seminar: "Numerical Range of Composition Operators on a Space of Dirichlet Series"

Meredith Sargent

In this talk, I'll be discussing some results by Finet and Queffelec about the numerical range. I'll start with a brief review of Dirichlet series, and the definition of numerical range, and I'll define and give some results about the space we'll be considering. I'll then move on to discuss the main results about the shape of the numerical range, as well as how it relates to the compactness of the composition operator.

 

Organizer: John McCarthy