A note on causality in Banach spaces
Functional Analysis
2014-03-11 v3
Abstract
In this note we provide examples that show that a common notion of causality for linear operators on Banach spaces does not carry over to the closure of the respective operators. We provide an alternative definition for causality, which is equivalent to the usual definition for closed linear operators but does carry over to the closure.
Keywords
Cite
@article{arxiv.1306.3851,
title = {A note on causality in Banach spaces},
author = {Marcus Waurick},
journal= {arXiv preprint arXiv:1306.3851},
year = {2014}
}
Comments
10 pages. I thoroughly revised the previous version; in particular, I extended the results to the non-reflexive Banach space case