Boundedness of Pseudodifferential Operators of C^*-Algebra-Valued Symbol
| dc.creator | Merklen, M. I. | |
| dc.date | 2003-10-03 | |
| dc.date | 2004-10-11 | |
| dc.date.accessioned | 2026-07-07T05:01:36Z | |
| dc.date.available | 2026-07-07T05:01:36Z | |
| dc.description | Let us consider the set S^A(\R^n) of rapidly decreasing functions G:\R^n \to A, where A is a separable C^*-algebra. We prove a version of the Calderón-Vaillancourt theorem for pseudodifferential operators acting on S^A(\R^n) whose symbol is A-valued. Given a skew-symmetric matrix, J, we prove that a pseudodifferential operator that commutes with G(x+JD), G\in S^A(\R^n), is of the form F(x-JD), for F a C^\infty-function with bounded derivatives of all orders. | |
| dc.description | Preprint | |
| dc.identifier | https://arxiv.org/abs/math/0310037 | |
| dc.identifier | http://arxiv.org/abs/math/0310037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68732 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47G30 | |
| dc.title | Boundedness of Pseudodifferential Operators of C^*-Algebra-Valued Symbol | |
| dc.type | text |