Are Banach spaces monadic?
Category Theory
2022-02-08 v3 Functional Analysis
Abstract
We will show that Banach spaces are monadic over complete metric spaces via the unit ball functor. For the forgetful functor, one should take complete pointed metric spaces.
Keywords
Cite
@article{arxiv.2011.07543,
title = {Are Banach spaces monadic?},
author = {Jiří Rosický},
journal= {arXiv preprint arXiv:2011.07543},
year = {2022}
}
Comments
8 pages, the proof of Theorem 4.1 was corrected