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Gleason-Kahane-Żelazko theorems in function spaces
Published 4 Nov 2020 in math.FA and math.CV | (2011.02931v1)
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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