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
Place: Mathematics Seminar Room, SA – 141