The closed graph theorem is the open mapping theorem
Functional Analysis
2019-12-06 v1
Abstract
We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.
Cite
@article{arxiv.1912.02626,
title = {The closed graph theorem is the open mapping theorem},
author = {R. S. Monahan and P. L. Robinson},
journal= {arXiv preprint arXiv:1912.02626},
year = {2019}
}