MATH Seminar: “Caratheodory Type Representations,” Aurelian Gheondea, SA-141, 4PM April 16 (EN)

Departments of Mathematics

Dear Colleagues and Students,

You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Aurelian Gheondea (Bilkent)

“Caratheodory Type Representations”

Abstract: We show that any operator valued function that is holomorphic in a neigbourghood of the origin of the complex plane has a compressed resolvent representation in terms of a unitary operator in a Krein space. The proof is based on a construction involving the Caratheodory kernel associated to the function and the shift operator on a certain function space. We also show that this result implies the existence of unitary dilations for bounded operators in Krein spaces.

Date: Tuesday, April 16, 2019
Time: 16:00
Place: Mathematics Seminar Room, SA – 141