Note on filtered colimits of Hilbert spaces
Category Theory
2019-12-03 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
The category of Hilbert spaces and contractions has filtered colimits, and tensoring preserves them. We also discuss (problems with) bounded maps.
Cite
@article{arxiv.1911.10060,
title = {Note on filtered colimits of Hilbert spaces},
author = {Branko Nikolić and Alessandra Di Pierro},
journal= {arXiv preprint arXiv:1911.10060},
year = {2019}
}