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arXiv · 2011.02931

Gleason-Kahane-\.Zelazko theorems in function spaces

Javad Mashreghi·Thomas Ransford
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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.

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Javad Mashreghi, Thomas Ransford. 2020-11-04. Gleason-Kahane-\.Zelazko theorems in function spaces. https://doi.org/10.14232/actasm-017-323-8

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