Analysis Seminar

Adam Fuller, Ohio University

"Boundary Representations of Operator Spaces"

Convexity has plays a crucial role in analysis, e.g. it lies at the heart of the Krein-Milman theorem and Choquet's boundary theory. In this talk we discuss convexity in the theory of operator spaces. We will introduce the notion of boundary representations for an operator space and show that an operator space has enough boundary representations to generate the triple envelope (or Shilov boundary) of an operator space. We will also discuss a Krein-Milman type theorem in this setting.

MC 5417