Gleason-Kahane-\.Zelazko theorems in function spaces
Functional Analysis
2020-11-06 v1 Complex Variables
Abstract
The Gleason-Kahane-\.Zelazko theorem states that a linear functional on a Banach algebra that is non-zero on invertible elements is necessarily a scalar multiple of a character. Recently this theorem has been extended to certain Banach function spaces that are not algebras. In this article we present a brief survey of these extensions.
Keywords
Cite
@article{arxiv.2011.02931,
title = {Gleason-Kahane-\.Zelazko theorems in function spaces},
author = {Javad Mashreghi and Thomas Ransford},
journal= {arXiv preprint arXiv:2011.02931},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1510.08128