Families index for Boutet de Monvel operators
We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra, K-theory, and the Atiyah–Singer theorem for families of elliptic operators on a closed manifold, we prove that these two indice...
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| Dokumenttypen: | Artikel |
| Erscheinungsdatum: | 2013 |
| Publikation in MIAMI: | 05.05.2014 |
| Datum der letzten Änderung: | 20.07.2022 |
| Quelle: | Münster Journal of Mathematics, 6 (2013), S. 343-364 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-55309458205 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-55309458205 |
| Onlinezugriff: | MJM_2013_6_343-364.pdf |
We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra, K-theory, and the Atiyah–Singer theorem for families of elliptic operators on a closed manifold, we prove that these two indices coincide.