Gleason-Kahane-Żelazko theorems in function spaces

Mashreghi, Javad and Ransford, Thomas: Gleason-Kahane-Żelazko theorems in function spaces. Acta scientiarum mathematicarum, (84) 1-2. pp. 227-238. (2018)

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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.

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2018
Volume: 84
Number: 1-2
Page Range: pp. 227-238
ISSN: 0001-6969
Uncontrolled Keywords: Banach-algebra
Additional Information: Bibliogr.: p. 237-238. ; Összefoglalás angol nyelven
Official URL: http://www.acta.hu
Date Deposited: 2018. Nov. 10. 10:32
Last Modified: 2019. Sep. 09. 13:44
URI: http://acta.bibl.u-szeged.hu/id/eprint/55812

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