A Banach space in which every injective operator is surjective
Functional Analysis
2014-06-30 v1 General Topology
Abstract
We construct an infinite dimensional Banach space of continuous functions C(K) such that every one-to-one operator on C(K) is onto.
Cite
@article{arxiv.1209.3042,
title = {A Banach space in which every injective operator is surjective},
author = {Antonio Avilés and Piotr Koszmider},
journal= {arXiv preprint arXiv:1209.3042},
year = {2014}
}