Limits and colimits in the category of Banach $L^0$-modules
Functional Analysis
2022-11-24 v1 Category Theory
Abstract
We prove that the category of Banach -modules over a given -finite measure space is both complete and cocomplete, which means that it admits all small limits and colimits.
Cite
@article{arxiv.2211.13197,
title = {Limits and colimits in the category of Banach $L^0$-modules},
author = {Enrico Pasqualetto},
journal= {arXiv preprint arXiv:2211.13197},
year = {2022}
}
Comments
24 pages