Gleason-Kahane-Żelazko theorems in function spaces
arXiv:2011.02931 · doi:10.14232/actasm-017-323-8
Abstract
The Gleason-Kahane-Żelazko 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.
arXiv admin note: text overlap with arXiv:1510.08128