Fra\"iss\'e limits in functional analysis
Functional Analysis
2016-06-28 v2 Logic
Operator Algebras
Abstract
We provide a unified approach to Fra\"{\i}ss\'{e} limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We obtain in this general framework many known and new results about the Gurarij space and the Poulsen simplex, and at the same time establish their noncommutative analogs. Particularly, we construct noncommutative analogs of universal operators in the sense of Rota.
Keywords
Cite
@article{arxiv.1510.05188,
title = {Fra\"iss\'e limits in functional analysis},
author = {Martino Lupini},
journal= {arXiv preprint arXiv:1510.05188},
year = {2016}
}
Comments
43 pages