Note on a product formula for unitary groups
| dc.creator | Cachia, Vincent | |
| dc.date | 2004-04-22 | |
| dc.date.accessioned | 2026-07-07T09:54:19Z | |
| dc.date.available | 2026-07-07T09:54:19Z | |
| dc.description | For any nonnegative self-adjoint operators A and B in a separable Hilbert space, we show that the Trotter-type formula $[(e^{i2tA/n}+e^{i2tB/n})/2]^n$ converges strongly in the closure of the intersection of the domains of A^{1/2} and B^{1/2}, along some subsequence and for almost every real number t. This result extends to the degenerate case and to Kato-functions following the method of Kato. | |
| dc.description | 5 pages, submitted to the London Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0404409 | |
| dc.identifier | http://arxiv.org/abs/math/0404409 | |
| dc.identifier | Bulletin London Math. Soc. 37 (2005), 621-626 | |
| dc.identifier | doi:10.1112/S0024609305004479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166268 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D03; 47B25 | |
| dc.title | Note on a product formula for unitary groups | |
| dc.type | text |