Gleason-Kahane-Żelazko theorems in function spaces
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...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
|
| Sorozat: | Acta scientiarum mathematicarum
84 No. 1-2 |
| Kulcsszavak: | Banach-algebra |
| Online Access: | http://acta.bibl.u-szeged.hu/55812 |
| Tartalmi kivonat: | 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. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 227-238 |
| ISSN: | 0001-6969 |