A contribution to Segal algebras
Let A and B be Banach algebras. If B is an abstract Segal algebra in A, we have a bijective correspondence between the strictly irreducible representations of A and those of B. This gives a bijective correspondence for maximal modular left ideals. If A and B have approximate right units, we obtain a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1973
|
| In: |
Manuscripta mathematica
Year: 1973, Jahrgang: 10, Heft: 3, Pages: 297-306 |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/BF01332771 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/BF01332771 Verlag, Volltext: https://link.springer.com/article/10.1007/BF01332771 
|
| Verfasserangaben: | Michael Leinert |
| Zusammenfassung: | Let A and B be Banach algebras. If B is an abstract Segal algebra in A, we have a bijective correspondence between the strictly irreducible representations of A and those of B. This gives a bijective correspondence for maximal modular left ideals. If A and B have approximate right units, we obtain a bijective correspondence for right resp. Two-sided ideals. For two-sided ideals this correspondence preserves the property of an ideal having approximate right units. This generalizes a theorem by H. Reiter. |
|---|---|
| Beschreibung: | Gesehen am 04.06.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/BF01332771 |