# Operator systems and algebras learning seminar

Speaker: Adam Dor-On (University of Copenhagen)

Title: Dilation theory for operator algebras and systems

Abstract: We show how to extend an isometry to a unitary, and how to co-extend a contraction to an isometry. As a consequence we get Nagy-Foias unitary dilation theorem and universality of the disk algebra. Afterwards we discuss Stinespring's dilation theorem and some of its consequences.