Fraïssé limits in functional analysis

Martino Lupini

Published 2015-10-18Version 1

We provide a unified approach to many Fra\"iss\'e limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We recover in this general framework many classical results about the Gurarij space and the Poulsen simplex, and at the same time obtain their noncommutative generalizations. Particularly, we construct noncommutative analogs of universal operators in the sense of Rota.