Trace functions as Laplace transforms
| dc.creator | Hansen, Frank | |
| dc.date | 2005-07-01 | |
| dc.date | 2005-08-02 | |
| dc.date.accessioned | 2026-07-07T06:28:00Z | |
| dc.date.available | 2026-07-07T06:28:00Z | |
| dc.description | We study trace functions on the form $ t\to\tr f(A+tB) $ where $ f $ is a real function defined on the positive half-line, and $ A $ and $ B $ are matrices such that $ A $ is positive definite and $ B $ is positive semi-definite. If $ f $ is non-negative and operator monotone decreasing, then such a trace function can be written as the Laplace transform of a positive measure. The question is related to the Bessis-Moussa-Villani conjecture. Key words: Trace functions, BMV-conjecture. | |
| dc.description | Minor change of style, update of reference | |
| dc.identifier | https://arxiv.org/abs/math/0507018 | |
| dc.identifier | http://arxiv.org/abs/math/0507018 | |
| dc.identifier | Journal of Mathematical Physics 47, 043504 (2006) | |
| dc.identifier | doi:10.1063/1.2186925 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97583 | |
| dc.subject | Operator Algebras | |
| dc.subject | Mathematical Physics | |
| dc.title | Trace functions as Laplace transforms | |
| dc.type | text |